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Finding the Fourth Proportional to 47,868.80, 71,806.40 and 16,278.40

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Solution

The fourth proportional to 47,868.80, 71,806.40 and 16,278.40 is: 24,418.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,868.80 : 71,806.40 = 16,278.40 : x
  2. Step 2: Convert to fraction form
    47,868.80/71,806.40 = 16,278.40/x
  3. Step 3: Cross multiply
    47,868.80x = 71,806.40 × 16,278.40
  4. Step 4: Simplify right side
    47,868.80x = 1,168,893,301.76
  5. Step 5: Solve for x
    x = 1,168,893,301.76/47,868.80
  6. Step 6: Final answer
    x = 24,418.69

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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.