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Finding the Fourth Proportional to 125,187.56, 187,774.30 and 31,687.40

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Solution

The fourth proportional to 125,187.56, 187,774.30 and 31,687.40 is: 47,529.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,187.56 : 187,774.30 = 31,687.40 : x
  2. Step 2: Convert to fraction form
    125,187.56/187,774.30 = 31,687.40/x
  3. Step 3: Cross multiply
    125,187.56x = 187,774.30 × 31,687.40
  4. Step 4: Simplify right side
    125,187.56x = 5,950,079,353.82
  5. Step 5: Solve for x
    x = 5,950,079,353.82/125,187.56
  6. Step 6: Final answer
    x = 47,529.32

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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.