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Finding the Fourth Proportional to 84,778, 127,189.68 and 29,374

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Solution

The fourth proportional to 84,778, 127,189.68 and 29,374 is: 44,068.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,778 : 127,189.68 = 29,374 : x
  2. Step 2: Convert to fraction form
    84,778/127,189.68 = 29,374/x
  3. Step 3: Cross multiply
    84,778x = 127,189.68 × 29,374
  4. Step 4: Simplify right side
    84,778x = 3,736,069,660.32
  5. Step 5: Solve for x
    x = 3,736,069,660.32/84,778
  6. Step 6: Final answer
    x = 44,068.86

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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.