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Finding the Fourth Proportional to 136,321.42, 188,129.70 and 75,895.98

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Solution

The fourth proportional to 136,321.42, 188,129.70 and 75,895.98 is: 104,739.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,321.42 : 188,129.70 = 75,895.98 : x
  2. Step 2: Convert to fraction form
    136,321.42/188,129.70 = 75,895.98/x
  3. Step 3: Cross multiply
    136,321.42x = 188,129.70 × 75,895.98
  4. Step 4: Simplify right side
    136,321.42x = 14,278,287,948.61
  5. Step 5: Solve for x
    x = 14,278,287,948.61/136,321.42
  6. Step 6: Final answer
    x = 104,739.87

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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.