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Finding the Fourth Proportional to 83,031.84, 124,440.84 and 30,378.60

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Solution

The fourth proportional to 83,031.84, 124,440.84 and 30,378.60 is: 45,528.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,031.84 : 124,440.84 = 30,378.60 : x
  2. Step 2: Convert to fraction form
    83,031.84/124,440.84 = 30,378.60/x
  3. Step 3: Cross multiply
    83,031.84x = 124,440.84 × 30,378.60
  4. Step 4: Simplify right side
    83,031.84x = 3,780,338,502.02
  5. Step 5: Solve for x
    x = 3,780,338,502.02/83,031.84
  6. Step 6: Final answer
    x = 45,528.78

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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.