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Finding the Fourth Proportional to 82,385.94, 123,283.64 and 71,330.78

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Solution

The fourth proportional to 82,385.94, 123,283.64 and 71,330.78 is: 106,740.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,385.94 : 123,283.64 = 71,330.78 : x
  2. Step 2: Convert to fraction form
    82,385.94/123,283.64 = 71,330.78/x
  3. Step 3: Cross multiply
    82,385.94x = 123,283.64 × 71,330.78
  4. Step 4: Simplify right side
    82,385.94x = 8,793,918,202.44
  5. Step 5: Solve for x
    x = 8,793,918,202.44/82,385.94
  6. Step 6: Final answer
    x = 106,740.52

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1.5x scale

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.