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Finding the Fourth Proportional to 119,897.76, 165,447.96 and 76,800.87

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Solution

The fourth proportional to 119,897.76, 165,447.96 and 76,800.87 is: 105,978.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,897.76 : 165,447.96 = 76,800.87 : x
  2. Step 2: Convert to fraction form
    119,897.76/165,447.96 = 76,800.87/x
  3. Step 3: Cross multiply
    119,897.76x = 165,447.96 × 76,800.87
  4. Step 4: Simplify right side
    119,897.76x = 12,706,547,267.73
  5. Step 5: Solve for x
    x = 12,706,547,267.73/119,897.76
  6. Step 6: Final answer
    x = 105,978.19

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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.