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Finding the Fourth Proportional to 82,943,999.80, 124,415,999.70 and 82,943,999.80

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Solution

The fourth proportional to 82,943,999.80, 124,415,999.70 and 82,943,999.80 is: 124,415,999.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,943,999.80 : 124,415,999.70 = 82,943,999.80 : x
  2. Step 2: Convert to fraction form
    82,943,999.80/124,415,999.70 = 82,943,999.80/x
  3. Step 3: Cross multiply
    82,943,999.80x = 124,415,999.70 × 82,943,999.80
  4. Step 4: Simplify right side
    82,943,999.80x = 10,319,560,654,233,600
  5. Step 5: Solve for x
    x = 10,319,560,654,233,600/82,943,999.80
  6. Step 6: Final answer
    x = 124,415,999.70

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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.