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Finding the Fourth Proportional to 91,287.20, 136,938.02 and 32,136.14

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Solution

The fourth proportional to 91,287.20, 136,938.02 and 32,136.14 is: 48,206.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,287.20 : 136,938.02 = 32,136.14 : x
  2. Step 2: Convert to fraction form
    91,287.20/136,938.02 = 32,136.14/x
  3. Step 3: Cross multiply
    91,287.20x = 136,938.02 × 32,136.14
  4. Step 4: Simplify right side
    91,287.20x = 4,400,658,536.67
  5. Step 5: Solve for x
    x = 4,400,658,536.67/91,287.20
  6. Step 6: Final answer
    x = 48,206.75

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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.