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Finding the Fourth Proportional to 266,159,276.40, 399,168,055.80 and 81,926,396.40

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Solution

The fourth proportional to 266,159,276.40, 399,168,055.80 and 81,926,396.40 is: 122,867,783.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,159,276.40 : 399,168,055.80 = 81,926,396.40 : x
  2. Step 2: Convert to fraction form
    266,159,276.40/399,168,055.80 = 81,926,396.40/x
  3. Step 3: Cross multiply
    266,159,276.40x = 399,168,055.80 × 81,926,396.40
  4. Step 4: Simplify right side
    266,159,276.40x = 32,702,400,369,688,124
  5. Step 5: Solve for x
    x = 32,702,400,369,688,124/266,159,276.40
  6. Step 6: Final answer
    x = 122,867,783.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.