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Finding the Fourth Proportional to 252,117.80, 347,917.92 and 137,397.37

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Solution

The fourth proportional to 252,117.80, 347,917.92 and 137,397.37 is: 189,605.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,117.80 : 347,917.92 = 137,397.37 : x
  2. Step 2: Convert to fraction form
    252,117.80/347,917.92 = 137,397.37/x
  3. Step 3: Cross multiply
    252,117.80x = 347,917.92 × 137,397.37
  4. Step 4: Simplify right side
    252,117.80x = 47,803,005,444.28
  5. Step 5: Solve for x
    x = 47,803,005,444.28/252,117.80
  6. Step 6: Final answer
    x = 189,605.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.