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Finding the Fourth Proportional to 159,931.20, 239,983.20 and 66,446.40

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Solution

The fourth proportional to 159,931.20, 239,983.20 and 66,446.40 is: 99,705.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,931.20 : 239,983.20 = 66,446.40 : x
  2. Step 2: Convert to fraction form
    159,931.20/239,983.20 = 66,446.40/x
  3. Step 3: Cross multiply
    159,931.20x = 239,983.20 × 66,446.40
  4. Step 4: Simplify right side
    159,931.20x = 15,946,019,700.48
  5. Step 5: Solve for x
    x = 15,946,019,700.48/159,931.20
  6. Step 6: Final answer
    x = 99,705.50

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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.