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Finding the Fourth Proportional to 231,572.40, 347,358.60 and 81,981.60

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Solution

The fourth proportional to 231,572.40, 347,358.60 and 81,981.60 is: 122,972.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,572.40 : 347,358.60 = 81,981.60 : x
  2. Step 2: Convert to fraction form
    231,572.40/347,358.60 = 81,981.60/x
  3. Step 3: Cross multiply
    231,572.40x = 347,358.60 × 81,981.60
  4. Step 4: Simplify right side
    231,572.40x = 28,477,013,801.76
  5. Step 5: Solve for x
    x = 28,477,013,801.76/231,572.40
  6. Step 6: Final answer
    x = 122,972.40

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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.