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Finding the Fourth Proportional to 79,898.64, 119,629.34 and 77,781.12

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Solution

The fourth proportional to 79,898.64, 119,629.34 and 77,781.12 is: 116,458.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,898.64 : 119,629.34 = 77,781.12 : x
  2. Step 2: Convert to fraction form
    79,898.64/119,629.34 = 77,781.12/x
  3. Step 3: Cross multiply
    79,898.64x = 119,629.34 × 77,781.12
  4. Step 4: Simplify right side
    79,898.64x = 9,304,904,050.06
  5. Step 5: Solve for x
    x = 9,304,904,050.06/79,898.64
  6. Step 6: Final answer
    x = 116,458.85

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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.