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Finding the Fourth Proportional to 266,036.40, 399,111.63 and 76,495.11

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Solution

The fourth proportional to 266,036.40, 399,111.63 and 76,495.11 is: 114,759.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,036.40 : 399,111.63 = 76,495.11 : x
  2. Step 2: Convert to fraction form
    266,036.40/399,111.63 = 76,495.11/x
  3. Step 3: Cross multiply
    266,036.40x = 399,111.63 × 76,495.11
  4. Step 4: Simplify right side
    266,036.40x = 30,530,088,039.13
  5. Step 5: Solve for x
    x = 30,530,088,039.13/266,036.40
  6. Step 6: Final answer
    x = 114,759.06

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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.