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Finding the Fourth Proportional to 65,206.62, 89,982.90 and 38,342.97

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Solution

The fourth proportional to 65,206.62, 89,982.90 and 38,342.97 is: 52,911.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,206.62 : 89,982.90 = 38,342.97 : x
  2. Step 2: Convert to fraction form
    65,206.62/89,982.90 = 38,342.97/x
  3. Step 3: Cross multiply
    65,206.62x = 89,982.90 × 38,342.97
  4. Step 4: Simplify right side
    65,206.62x = 3,450,211,635.21
  5. Step 5: Solve for x
    x = 3,450,211,635.21/65,206.62
  6. Step 6: Final answer
    x = 52,911.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.