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Finding the Fourth Proportional to 137,656.68, 206,560.25 and 53,420.16

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Solution

The fourth proportional to 137,656.68, 206,560.25 and 53,420.16 is: 80,159.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,656.68 : 206,560.25 = 53,420.16 : x
  2. Step 2: Convert to fraction form
    137,656.68/206,560.25 = 53,420.16/x
  3. Step 3: Cross multiply
    137,656.68x = 206,560.25 × 53,420.16
  4. Step 4: Simplify right side
    137,656.68x = 11,034,481,604.64
  5. Step 5: Solve for x
    x = 11,034,481,604.64/137,656.68
  6. Step 6: Final answer
    x = 80,159.43

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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.