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Finding the Fourth Proportional to 125,778, 188,429.16 and 74,333.16

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Solution

The fourth proportional to 125,778, 188,429.16 and 74,333.16 is: 111,359.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,778 : 188,429.16 = 74,333.16 : x
  2. Step 2: Convert to fraction form
    125,778/188,429.16 = 74,333.16/x
  3. Step 3: Cross multiply
    125,778x = 188,429.16 × 74,333.16
  4. Step 4: Simplify right side
    125,778x = 14,006,534,898.95
  5. Step 5: Solve for x
    x = 14,006,534,898.95/125,778
  6. Step 6: Final answer
    x = 111,359.18

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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.