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Finding the Fourth Proportional to 82,493.90, 123,740.85 and 29,905.10

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Solution

The fourth proportional to 82,493.90, 123,740.85 and 29,905.10 is: 44,857.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,493.90 : 123,740.85 = 29,905.10 : x
  2. Step 2: Convert to fraction form
    82,493.90/123,740.85 = 29,905.10/x
  3. Step 3: Cross multiply
    82,493.90x = 123,740.85 × 29,905.10
  4. Step 4: Simplify right side
    82,493.90x = 3,700,482,493.34
  5. Step 5: Solve for x
    x = 3,700,482,493.34/82,493.90
  6. Step 6: Final answer
    x = 44,857.65

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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.