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Finding the Fourth Proportional to 137,568.30, 206,232.45 and 53,385.90

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Solution

The fourth proportional to 137,568.30, 206,232.45 and 53,385.90 is: 80,032.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,568.30 : 206,232.45 = 53,385.90 : x
  2. Step 2: Convert to fraction form
    137,568.30/206,232.45 = 53,385.90/x
  3. Step 3: Cross multiply
    137,568.30x = 206,232.45 × 53,385.90
  4. Step 4: Simplify right side
    137,568.30x = 11,009,904,952.46
  5. Step 5: Solve for x
    x = 11,009,904,952.46/137,568.30
  6. Step 6: Final answer
    x = 80,032.28

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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.