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Finding the Fourth Proportional to 83,642.46, 115,411.70 and 47,343.73

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Solution

The fourth proportional to 83,642.46, 115,411.70 and 47,343.73 is: 65,325.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,642.46 : 115,411.70 = 47,343.73 : x
  2. Step 2: Convert to fraction form
    83,642.46/115,411.70 = 47,343.73/x
  3. Step 3: Cross multiply
    83,642.46x = 115,411.70 × 47,343.73
  4. Step 4: Simplify right side
    83,642.46x = 5,464,019,956.75
  5. Step 5: Solve for x
    x = 5,464,019,956.75/83,642.46
  6. Step 6: Final answer
    x = 65,325.91

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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.