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Finding the Fourth Proportional to 125,471.40, 188,208.24 and 31,977.12

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Solution

The fourth proportional to 125,471.40, 188,208.24 and 31,977.12 is: 47,965.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,471.40 : 188,208.24 = 31,977.12 : x
  2. Step 2: Convert to fraction form
    125,471.40/188,208.24 = 31,977.12/x
  3. Step 3: Cross multiply
    125,471.40x = 188,208.24 × 31,977.12
  4. Step 4: Simplify right side
    125,471.40x = 6,018,357,475.47
  5. Step 5: Solve for x
    x = 6,018,357,475.47/125,471.40
  6. Step 6: Final answer
    x = 47,965.97

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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.