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Finding the Fourth Proportional to 125,188.56, 187,775.80 and 31,688.40

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Solution

The fourth proportional to 125,188.56, 187,775.80 and 31,688.40 is: 47,530.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,188.56 : 187,775.80 = 31,688.40 : x
  2. Step 2: Convert to fraction form
    125,188.56/187,775.80 = 31,688.40/x
  3. Step 3: Cross multiply
    125,188.56x = 187,775.80 × 31,688.40
  4. Step 4: Simplify right side
    125,188.56x = 5,950,314,660.72
  5. Step 5: Solve for x
    x = 5,950,314,660.72/125,188.56
  6. Step 6: Final answer
    x = 47,530.82

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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.