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Finding the Fourth Proportional to 102,354.45, 153,344.61 and 74,204.70

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Solution

The fourth proportional to 102,354.45, 153,344.61 and 74,204.70 is: 111,171.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,354.45 : 153,344.61 = 74,204.70 : x
  2. Step 2: Convert to fraction form
    102,354.45/153,344.61 = 74,204.70/x
  3. Step 3: Cross multiply
    102,354.45x = 153,344.61 × 74,204.70
  4. Step 4: Simplify right side
    102,354.45x = 11,378,890,781.67
  5. Step 5: Solve for x
    x = 11,378,890,781.67/102,354.45
  6. Step 6: Final answer
    x = 111,171.43

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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.