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Finding the Fourth Proportional to 65,912,101.20, 98,798,167.80 and 31,811,230.80

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Solution

The fourth proportional to 65,912,101.20, 98,798,167.80 and 31,811,230.80 is: 47,683,069.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,912,101.20 : 98,798,167.80 = 31,811,230.80 : x
  2. Step 2: Convert to fraction form
    65,912,101.20/98,798,167.80 = 31,811,230.80/x
  3. Step 3: Cross multiply
    65,912,101.20x = 98,798,167.80 × 31,811,230.80
  4. Step 4: Simplify right side
    65,912,101.20x = 3,142,891,318,502,928
  5. Step 5: Solve for x
    x = 3,142,891,318,502,928/65,912,101.20
  6. Step 6: Final answer
    x = 47,683,069.74

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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.