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Finding the Fourth Proportional to 82,207.80, 123,311.70 and 19,878.30

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Solution

The fourth proportional to 82,207.80, 123,311.70 and 19,878.30 is: 29,817.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,207.80 : 123,311.70 = 19,878.30 : x
  2. Step 2: Convert to fraction form
    82,207.80/123,311.70 = 19,878.30/x
  3. Step 3: Cross multiply
    82,207.80x = 123,311.70 × 19,878.30
  4. Step 4: Simplify right side
    82,207.80x = 2,451,226,966.11
  5. Step 5: Solve for x
    x = 2,451,226,966.11/82,207.80
  6. Step 6: Final answer
    x = 29,817.45

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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.