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Finding the Fourth Proportional to 82,718,794.90, 123,839,043.90 and 80,327,310.40

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Solution

The fourth proportional to 82,718,794.90, 123,839,043.90 and 80,327,310.40 is: 120,258,731.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,718,794.90 : 123,839,043.90 = 80,327,310.40 : x
  2. Step 2: Convert to fraction form
    82,718,794.90/123,839,043.90 = 80,327,310.40/x
  3. Step 3: Cross multiply
    82,718,794.90x = 123,839,043.90 × 80,327,310.40
  4. Step 4: Simplify right side
    82,718,794.90x = 9,947,657,318,994,528
  5. Step 5: Solve for x
    x = 9,947,657,318,994,528/82,718,794.90
  6. Step 6: Final answer
    x = 120,258,731.17

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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.