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Finding the Fourth Proportional to 82,019,959.20, 123,029,938.80 and 43,661,728.80

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Solution

The fourth proportional to 82,019,959.20, 123,029,938.80 and 43,661,728.80 is: 65,492,593.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,019,959.20 : 123,029,938.80 = 43,661,728.80 : x
  2. Step 2: Convert to fraction form
    82,019,959.20/123,029,938.80 = 43,661,728.80/x
  3. Step 3: Cross multiply
    82,019,959.20x = 123,029,938.80 × 43,661,728.80
  4. Step 4: Simplify right side
    82,019,959.20x = 5,371,699,822,166,197
  5. Step 5: Solve for x
    x = 5,371,699,822,166,197/82,019,959.20
  6. Step 6: Final answer
    x = 65,492,593.20

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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.