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Finding the Fourth Proportional to 83,217.64, 124,820.70 and 30,617.32

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Solution

The fourth proportional to 83,217.64, 124,820.70 and 30,617.32 is: 45,923.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,217.64 : 124,820.70 = 30,617.32 : x
  2. Step 2: Convert to fraction form
    83,217.64/124,820.70 = 30,617.32/x
  3. Step 3: Cross multiply
    83,217.64x = 124,820.70 × 30,617.32
  4. Step 4: Simplify right side
    83,217.64x = 3,821,675,314.52
  5. Step 5: Solve for x
    x = 3,821,675,314.52/83,217.64
  6. Step 6: Final answer
    x = 45,923.86

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1.5x scale

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.