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Finding the Fourth Proportional to 138,139.72, 207,200.20 and 53,884.32

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Solution

The fourth proportional to 138,139.72, 207,200.20 and 53,884.32 is: 80,822.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,139.72 : 207,200.20 = 53,884.32 : x
  2. Step 2: Convert to fraction form
    138,139.72/207,200.20 = 53,884.32/x
  3. Step 3: Cross multiply
    138,139.72x = 207,200.20 × 53,884.32
  4. Step 4: Simplify right side
    138,139.72x = 11,164,841,880.86
  5. Step 5: Solve for x
    x = 11,164,841,880.86/138,139.72
  6. Step 6: Final answer
    x = 80,822.82

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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.