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Finding the Fourth Proportional to 71,769,717.80, 107,679,459.90 and 31,409,167.40

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Solution

The fourth proportional to 71,769,717.80, 107,679,459.90 and 31,409,167.40 is: 47,124,640.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,769,717.80 : 107,679,459.90 = 31,409,167.40 : x
  2. Step 2: Convert to fraction form
    71,769,717.80/107,679,459.90 = 31,409,167.40/x
  3. Step 3: Cross multiply
    71,769,717.80x = 107,679,459.90 × 31,409,167.40
  4. Step 4: Simplify right side
    71,769,717.80x = 3,382,122,181,540,687.50
  5. Step 5: Solve for x
    x = 3,382,122,181,540,687.50/71,769,717.80
  6. Step 6: Final answer
    x = 47,124,640.94

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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.