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Finding the Fourth Proportional to 50,856.39, 70,161.80 and 31,725

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Solution

The fourth proportional to 50,856.39, 70,161.80 and 31,725 is: 43,768.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,856.39 : 70,161.80 = 31,725 : x
  2. Step 2: Convert to fraction form
    50,856.39/70,161.80 = 31,725/x
  3. Step 3: Cross multiply
    50,856.39x = 70,161.80 × 31,725
  4. Step 4: Simplify right side
    50,856.39x = 2,225,882,946.38
  5. Step 5: Solve for x
    x = 2,225,882,946.38/50,856.39
  6. Step 6: Final answer
    x = 43,768.01

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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.