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Finding the Fourth Proportional to 82,765,978.80, 124,148,968.20 and 82,765,978.80

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Solution

The fourth proportional to 82,765,978.80, 124,148,968.20 and 82,765,978.80 is: 124,148,968.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,765,978.80 : 124,148,968.20 = 82,765,978.80 : x
  2. Step 2: Convert to fraction form
    82,765,978.80/124,148,968.20 = 82,765,978.80/x
  3. Step 3: Cross multiply
    82,765,978.80x = 124,148,968.20 × 82,765,978.80
  4. Step 4: Simplify right side
    82,765,978.80x = 10,275,310,870,083,074
  5. Step 5: Solve for x
    x = 10,275,310,870,083,074/82,765,978.80
  6. Step 6: Final answer
    x = 124,148,968.20

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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.