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Finding the Fourth Proportional to 159,477.20, 239,129.40 and 65,877.20

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Solution

The fourth proportional to 159,477.20, 239,129.40 and 65,877.20 is: 98,780.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,477.20 : 239,129.40 = 65,877.20 : x
  2. Step 2: Convert to fraction form
    159,477.20/239,129.40 = 65,877.20/x
  3. Step 3: Cross multiply
    159,477.20x = 239,129.40 × 65,877.20
  4. Step 4: Simplify right side
    159,477.20x = 15,753,175,309.68
  5. Step 5: Solve for x
    x = 15,753,175,309.68/159,477.20
  6. Step 6: Final answer
    x = 98,780.11

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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.