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Finding the Fourth Proportional to 119,802.80, 165,381 and 77,382.02

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Solution

The fourth proportional to 119,802.80, 165,381 and 77,382.02 is: 106,821.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,802.80 : 165,381 = 77,382.02 : x
  2. Step 2: Convert to fraction form
    119,802.80/165,381 = 77,382.02/x
  3. Step 3: Cross multiply
    119,802.80x = 165,381 × 77,382.02
  4. Step 4: Simplify right side
    119,802.80x = 12,797,515,849.62
  5. Step 5: Solve for x
    x = 12,797,515,849.62/119,802.80
  6. Step 6: Final answer
    x = 106,821.51

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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.