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Finding the Fourth Proportional to 125,149.52, 187,722.27 and 30,380.46

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Solution

The fourth proportional to 125,149.52, 187,722.27 and 30,380.46 is: 45,570.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,149.52 : 187,722.27 = 30,380.46 : x
  2. Step 2: Convert to fraction form
    125,149.52/187,722.27 = 30,380.46/x
  3. Step 3: Cross multiply
    125,149.52x = 187,722.27 × 30,380.46
  4. Step 4: Simplify right side
    125,149.52x = 5,703,088,914.84
  5. Step 5: Solve for x
    x = 5,703,088,914.84/125,149.52
  6. Step 6: Final answer
    x = 45,570.20

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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.