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Finding the Fourth Proportional to 151,251.60, 208,734.16 and 84,187.92

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Solution

The fourth proportional to 151,251.60, 208,734.16 and 84,187.92 is: 116,183.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,251.60 : 208,734.16 = 84,187.92 : x
  2. Step 2: Convert to fraction form
    151,251.60/208,734.16 = 84,187.92/x
  3. Step 3: Cross multiply
    151,251.60x = 208,734.16 × 84,187.92
  4. Step 4: Simplify right side
    151,251.60x = 17,572,894,763.35
  5. Step 5: Solve for x
    x = 17,572,894,763.35/151,251.60
  6. Step 6: Final answer
    x = 116,183.20

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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.