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Finding the Fourth Proportional to 266,516.31, 399,715.76 and 76,935.51

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Solution

The fourth proportional to 266,516.31, 399,715.76 and 76,935.51 is: 115,386.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,516.31 : 399,715.76 = 76,935.51 : x
  2. Step 2: Convert to fraction form
    266,516.31/399,715.76 = 76,935.51/x
  3. Step 3: Cross multiply
    266,516.31x = 399,715.76 × 76,935.51
  4. Step 4: Simplify right side
    266,516.31x = 30,752,336,042.98
  5. Step 5: Solve for x
    x = 30,752,336,042.98/266,516.31
  6. Step 6: Final answer
    x = 115,386.32

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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.