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Finding the Fourth Proportional to 125,390, 188,069.88 and 31,896.56

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Solution

The fourth proportional to 125,390, 188,069.88 and 31,896.56 is: 47,840.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,390 : 188,069.88 = 31,896.56 : x
  2. Step 2: Convert to fraction form
    125,390/188,069.88 = 31,896.56/x
  3. Step 3: Cross multiply
    125,390x = 188,069.88 × 31,896.56
  4. Step 4: Simplify right side
    125,390x = 5,998,782,211.61
  5. Step 5: Solve for x
    x = 5,998,782,211.61/125,390
  6. Step 6: Final answer
    x = 47,840.99

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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.