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Finding the Fourth Proportional to 100,302.71, 138,166.78 and 76,387.87

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Solution

The fourth proportional to 100,302.71, 138,166.78 and 76,387.87 is: 105,224.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,302.71 : 138,166.78 = 76,387.87 : x
  2. Step 2: Convert to fraction form
    100,302.71/138,166.78 = 76,387.87/x
  3. Step 3: Cross multiply
    100,302.71x = 138,166.78 × 76,387.87
  4. Step 4: Simplify right side
    100,302.71x = 10,554,264,956.19
  5. Step 5: Solve for x
    x = 10,554,264,956.19/100,302.71
  6. Step 6: Final answer
    x = 105,224.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.