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Finding the Fourth Proportional to 91,301.91, 136,729.29 and 75,409.71

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Solution

The fourth proportional to 91,301.91, 136,729.29 and 75,409.71 is: 112,929.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,301.91 : 136,729.29 = 75,409.71 : x
  2. Step 2: Convert to fraction form
    91,301.91/136,729.29 = 75,409.71/x
  3. Step 3: Cross multiply
    91,301.91x = 136,729.29 × 75,409.71
  4. Step 4: Simplify right side
    91,301.91x = 10,310,716,107.41
  5. Step 5: Solve for x
    x = 10,310,716,107.41/91,301.91
  6. Step 6: Final answer
    x = 112,929.91

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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.