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Finding the Fourth Proportional to 135,909.80, 203,864.70 and 85,718.15

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Solution

The fourth proportional to 135,909.80, 203,864.70 and 85,718.15 is: 128,577.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,909.80 : 203,864.70 = 85,718.15 : x
  2. Step 2: Convert to fraction form
    135,909.80/203,864.70 = 85,718.15/x
  3. Step 3: Cross multiply
    135,909.80x = 203,864.70 × 85,718.15
  4. Step 4: Simplify right side
    135,909.80x = 17,474,904,934.31
  5. Step 5: Solve for x
    x = 17,474,904,934.31/135,909.80
  6. Step 6: Final answer
    x = 128,577.23

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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.