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Finding the Fourth Proportional to 82,019,970.20, 123,029,955.30 and 43,661,739.80

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Solution

The fourth proportional to 82,019,970.20, 123,029,955.30 and 43,661,739.80 is: 65,492,609.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,019,970.20 : 123,029,955.30 = 43,661,739.80 : x
  2. Step 2: Convert to fraction form
    82,019,970.20/123,029,955.30 = 43,661,739.80/x
  3. Step 3: Cross multiply
    82,019,970.20x = 123,029,955.30 × 43,661,739.80
  4. Step 4: Simplify right side
    82,019,970.20x = 5,371,701,895,914,230
  5. Step 5: Solve for x
    x = 5,371,701,895,914,230/82,019,970.20
  6. Step 6: Final answer
    x = 65,492,609.70

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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.