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Finding the Fourth Proportional to 82,672,892.80, 123,715,406.40 and 72,007,331.20

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Solution

The fourth proportional to 82,672,892.80, 123,715,406.40 and 72,007,331.20 is: 107,754,984.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,672,892.80 : 123,715,406.40 = 72,007,331.20 : x
  2. Step 2: Convert to fraction form
    82,672,892.80/123,715,406.40 = 72,007,331.20/x
  3. Step 3: Cross multiply
    82,672,892.80x = 123,715,406.40 × 72,007,331.20
  4. Step 4: Simplify right side
    82,672,892.80x = 8,908,416,243,187,400
  5. Step 5: Solve for x
    x = 8,908,416,243,187,400/82,672,892.80
  6. Step 6: Final answer
    x = 107,754,984.03

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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.