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Finding the Fourth Proportional to 82,912,122.40, 124,384,124.40 and 31,790,154.40

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Solution

The fourth proportional to 82,912,122.40, 124,384,124.40 and 31,790,154.40 is: 47,691,343.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,912,122.40 : 124,384,124.40 = 31,790,154.40 : x
  2. Step 2: Convert to fraction form
    82,912,122.40/124,384,124.40 = 31,790,154.40/x
  3. Step 3: Cross multiply
    82,912,122.40x = 124,384,124.40 × 31,790,154.40
  4. Step 4: Simplify right side
    82,912,122.40x = 3,954,190,519,584,807.50
  5. Step 5: Solve for x
    x = 3,954,190,519,584,807.50/82,912,122.40
  6. Step 6: Final answer
    x = 47,691,343.62

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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.