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Finding the Fourth Proportional to 125,979.20, 189,041.70 and 47,101.40

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Solution

The fourth proportional to 125,979.20, 189,041.70 and 47,101.40 is: 70,679.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,979.20 : 189,041.70 = 47,101.40 : x
  2. Step 2: Convert to fraction form
    125,979.20/189,041.70 = 47,101.40/x
  3. Step 3: Cross multiply
    125,979.20x = 189,041.70 × 47,101.40
  4. Step 4: Simplify right side
    125,979.20x = 8,904,128,728.38
  5. Step 5: Solve for x
    x = 8,904,128,728.38/125,979.20
  6. Step 6: Final answer
    x = 70,679.36

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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.