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Finding the Fourth Proportional to 159,459.60, 239,218.20 and 65,974.80

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Solution

The fourth proportional to 159,459.60, 239,218.20 and 65,974.80 is: 98,974.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,459.60 : 239,218.20 = 65,974.80 : x
  2. Step 2: Convert to fraction form
    159,459.60/239,218.20 = 65,974.80/x
  3. Step 3: Cross multiply
    159,459.60x = 239,218.20 × 65,974.80
  4. Step 4: Simplify right side
    159,459.60x = 15,782,372,901.36
  5. Step 5: Solve for x
    x = 15,782,372,901.36/159,459.60
  6. Step 6: Final answer
    x = 98,974.12

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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.