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Finding the Fourth Proportional to 119,799.61, 165,376.61 and 77,378.83

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Solution

The fourth proportional to 119,799.61, 165,376.61 and 77,378.83 is: 106,817.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,799.61 : 165,376.61 = 77,378.83 : x
  2. Step 2: Convert to fraction form
    119,799.61/165,376.61 = 77,378.83/x
  3. Step 3: Cross multiply
    119,799.61x = 165,376.61 × 77,378.83
  4. Step 4: Simplify right side
    119,799.61x = 12,796,648,591.17
  5. Step 5: Solve for x
    x = 12,796,648,591.17/119,799.61
  6. Step 6: Final answer
    x = 106,817.11

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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.