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Finding the Fourth Proportional to 83,318,642.46, 124,978,378.91 and 34,161,346.40

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Solution

The fourth proportional to 83,318,642.46, 124,978,378.91 and 34,161,346.40 is: 51,242,189.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,318,642.46 : 124,978,378.91 = 34,161,346.40 : x
  2. Step 2: Convert to fraction form
    83,318,642.46/124,978,378.91 = 34,161,346.40/x
  3. Step 3: Cross multiply
    83,318,642.46x = 124,978,378.91 × 34,161,346.40
  4. Step 4: Simplify right side
    83,318,642.46x = 4,269,429,693,659,266
  5. Step 5: Solve for x
    x = 4,269,429,693,659,266/83,318,642.46
  6. Step 6: Final answer
    x = 51,242,189.83

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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.