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Finding the Fourth Proportional to 137,565.80, 206,348.70 and 90,326.60

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Solution

The fourth proportional to 137,565.80, 206,348.70 and 90,326.60 is: 135,489.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,565.80 : 206,348.70 = 90,326.60 : x
  2. Step 2: Convert to fraction form
    137,565.80/206,348.70 = 90,326.60/x
  3. Step 3: Cross multiply
    137,565.80x = 206,348.70 × 90,326.60
  4. Step 4: Simplify right side
    137,565.80x = 18,638,776,485.42
  5. Step 5: Solve for x
    x = 18,638,776,485.42/137,565.80
  6. Step 6: Final answer
    x = 135,489.90

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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.