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Finding the Fourth Proportional to 266,688.24, 399,909.24 and 98,166.32

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Solution

The fourth proportional to 266,688.24, 399,909.24 and 98,166.32 is: 147,204.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,688.24 : 399,909.24 = 98,166.32 : x
  2. Step 2: Convert to fraction form
    266,688.24/399,909.24 = 98,166.32/x
  3. Step 3: Cross multiply
    266,688.24x = 399,909.24 × 98,166.32
  4. Step 4: Simplify right side
    266,688.24x = 39,257,618,424.80
  5. Step 5: Solve for x
    x = 39,257,618,424.80/266,688.24
  6. Step 6: Final answer
    x = 147,204.16

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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.