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Finding the Fourth Proportional to 48,488.80, 72,734.42 and 13,428.76

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Solution

The fourth proportional to 48,488.80, 72,734.42 and 13,428.76 is: 20,143.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,488.80 : 72,734.42 = 13,428.76 : x
  2. Step 2: Convert to fraction form
    48,488.80/72,734.42 = 13,428.76/x
  3. Step 3: Cross multiply
    48,488.80x = 72,734.42 × 13,428.76
  4. Step 4: Simplify right side
    48,488.80x = 976,732,820.94
  5. Step 5: Solve for x
    x = 976,732,820.94/48,488.80
  6. Step 6: Final answer
    x = 20,143.47

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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.