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Finding the Fourth Proportional to 125,873.66, 188,755.10 and 66,695.69

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Solution

The fourth proportional to 125,873.66, 188,755.10 and 66,695.69 is: 100,014.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,873.66 : 188,755.10 = 66,695.69 : x
  2. Step 2: Convert to fraction form
    125,873.66/188,755.10 = 66,695.69/x
  3. Step 3: Cross multiply
    125,873.66x = 188,755.10 × 66,695.69
  4. Step 4: Simplify right side
    125,873.66x = 12,589,151,302.04
  5. Step 5: Solve for x
    x = 12,589,151,302.04/125,873.66
  6. Step 6: Final answer
    x = 100,014.18

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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.