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Finding the Fourth Proportional to 83,963.20, 125,901.60 and 31,345.60

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Solution

The fourth proportional to 83,963.20, 125,901.60 and 31,345.60 is: 47,002.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,963.20 : 125,901.60 = 31,345.60 : x
  2. Step 2: Convert to fraction form
    83,963.20/125,901.60 = 31,345.60/x
  3. Step 3: Cross multiply
    83,963.20x = 125,901.60 × 31,345.60
  4. Step 4: Simplify right side
    83,963.20x = 3,946,461,192.96
  5. Step 5: Solve for x
    x = 3,946,461,192.96/83,963.20
  6. Step 6: Final answer
    x = 47,002.27

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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.