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Finding the Fourth Proportional to 125,151.64, 187,728.08 and 31,657.48

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Solution

The fourth proportional to 125,151.64, 187,728.08 and 31,657.48 is: 47,486.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,151.64 : 187,728.08 = 31,657.48 : x
  2. Step 2: Convert to fraction form
    125,151.64/187,728.08 = 31,657.48/x
  3. Step 3: Cross multiply
    125,151.64x = 187,728.08 × 31,657.48
  4. Step 4: Simplify right side
    125,151.64x = 5,942,997,938.04
  5. Step 5: Solve for x
    x = 5,942,997,938.04/125,151.64
  6. Step 6: Final answer
    x = 47,486.38

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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.