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Finding the Fourth Proportional to 91,343.42, 136,932.10 and 35,147.68

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Solution

The fourth proportional to 91,343.42, 136,932.10 and 35,147.68 is: 52,689.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,343.42 : 136,932.10 = 35,147.68 : x
  2. Step 2: Convert to fraction form
    91,343.42/136,932.10 = 35,147.68/x
  3. Step 3: Cross multiply
    91,343.42x = 136,932.10 × 35,147.68
  4. Step 4: Simplify right side
    91,343.42x = 4,812,845,632.53
  5. Step 5: Solve for x
    x = 4,812,845,632.53/91,343.42
  6. Step 6: Final answer
    x = 52,689.57

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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.