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Finding the Fourth Proportional to 91,970.20, 137,922.90 and 32,807.80

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Solution

The fourth proportional to 91,970.20, 137,922.90 and 32,807.80 is: 49,200.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,970.20 : 137,922.90 = 32,807.80 : x
  2. Step 2: Convert to fraction form
    91,970.20/137,922.90 = 32,807.80/x
  3. Step 3: Cross multiply
    91,970.20x = 137,922.90 × 32,807.80
  4. Step 4: Simplify right side
    91,970.20x = 4,524,946,918.62
  5. Step 5: Solve for x
    x = 4,524,946,918.62/91,970.20
  6. Step 6: Final answer
    x = 49,200.14

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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.