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Finding the Fourth Proportional to 47,115.20, 70,672.80 and 20,806.40

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Solution

The fourth proportional to 47,115.20, 70,672.80 and 20,806.40 is: 31,209.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,115.20 : 70,672.80 = 20,806.40 : x
  2. Step 2: Convert to fraction form
    47,115.20/70,672.80 = 20,806.40/x
  3. Step 3: Cross multiply
    47,115.20x = 70,672.80 × 20,806.40
  4. Step 4: Simplify right side
    47,115.20x = 1,470,446,545.92
  5. Step 5: Solve for x
    x = 1,470,446,545.92/47,115.20
  6. Step 6: Final answer
    x = 31,209.60

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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.