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Finding the Fourth Proportional to 287,689.68, 431,465.22 and 88,011.78

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Solution

The fourth proportional to 287,689.68, 431,465.22 and 88,011.78 is: 131,996.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,689.68 : 431,465.22 = 88,011.78 : x
  2. Step 2: Convert to fraction form
    287,689.68/431,465.22 = 88,011.78/x
  3. Step 3: Cross multiply
    287,689.68x = 431,465.22 × 88,011.78
  4. Step 4: Simplify right side
    287,689.68x = 37,974,022,020.29
  5. Step 5: Solve for x
    x = 37,974,022,020.29/287,689.68
  6. Step 6: Final answer
    x = 131,996.47

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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.