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Finding the Fourth Proportional to 239,652.16, 359,478.24 and 81,881.92

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Solution

The fourth proportional to 239,652.16, 359,478.24 and 81,881.92 is: 122,822.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,652.16 : 359,478.24 = 81,881.92 : x
  2. Step 2: Convert to fraction form
    239,652.16/359,478.24 = 81,881.92/x
  3. Step 3: Cross multiply
    239,652.16x = 359,478.24 × 81,881.92
  4. Step 4: Simplify right side
    239,652.16x = 29,434,768,489.42
  5. Step 5: Solve for x
    x = 29,434,768,489.42/239,652.16
  6. Step 6: Final answer
    x = 122,822.88

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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.