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Finding the Fourth Proportional to 125,105.68, 172,623.72 and 71,382.16

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Solution

The fourth proportional to 125,105.68, 172,623.72 and 71,382.16 is: 98,494.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,105.68 : 172,623.72 = 71,382.16 : x
  2. Step 2: Convert to fraction form
    125,105.68/172,623.72 = 71,382.16/x
  3. Step 3: Cross multiply
    125,105.68x = 172,623.72 × 71,382.16
  4. Step 4: Simplify right side
    125,105.68x = 12,322,254,000.84
  5. Step 5: Solve for x
    x = 12,322,254,000.84/125,105.68
  6. Step 6: Final answer
    x = 98,494.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.