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Finding the Fourth Proportional to 82,751.80, 123,981.90 and 67,880.20

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Solution

The fourth proportional to 82,751.80, 123,981.90 and 67,880.20 is: 101,700.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,751.80 : 123,981.90 = 67,880.20 : x
  2. Step 2: Convert to fraction form
    82,751.80/123,981.90 = 67,880.20/x
  3. Step 3: Cross multiply
    82,751.80x = 123,981.90 × 67,880.20
  4. Step 4: Simplify right side
    82,751.80x = 8,415,916,168.38
  5. Step 5: Solve for x
    x = 8,415,916,168.38/82,751.80
  6. Step 6: Final answer
    x = 101,700.70

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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.