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Finding the Fourth Proportional to 119,871.43, 165,484.76 and 87,569.78

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Solution

The fourth proportional to 119,871.43, 165,484.76 and 87,569.78 is: 120,891.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,871.43 : 165,484.76 = 87,569.78 : x
  2. Step 2: Convert to fraction form
    119,871.43/165,484.76 = 87,569.78/x
  3. Step 3: Cross multiply
    119,871.43x = 165,484.76 × 87,569.78
  4. Step 4: Simplify right side
    119,871.43x = 14,491,462,761.28
  5. Step 5: Solve for x
    x = 14,491,462,761.28/119,871.43
  6. Step 6: Final answer
    x = 120,891.72

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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.