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Finding the Fourth Proportional to 47,121.70, 70,706.46 and 31,337.71

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Solution

The fourth proportional to 47,121.70, 70,706.46 and 31,337.71 is: 47,022.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,121.70 : 70,706.46 = 31,337.71 : x
  2. Step 2: Convert to fraction form
    47,121.70/70,706.46 = 31,337.71/x
  3. Step 3: Cross multiply
    47,121.70x = 70,706.46 × 31,337.71
  4. Step 4: Simplify right side
    47,121.70x = 2,215,778,538.61
  5. Step 5: Solve for x
    x = 2,215,778,538.61/47,121.70
  6. Step 6: Final answer
    x = 47,022.47

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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.