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Finding the Fourth Proportional to 48,948.78, 73,432.17 and 20,868.78

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Solution

The fourth proportional to 48,948.78, 73,432.17 and 20,868.78 is: 31,307.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,948.78 : 73,432.17 = 20,868.78 : x
  2. Step 2: Convert to fraction form
    48,948.78/73,432.17 = 20,868.78/x
  3. Step 3: Cross multiply
    48,948.78x = 73,432.17 × 20,868.78
  4. Step 4: Simplify right side
    48,948.78x = 1,532,439,800.65
  5. Step 5: Solve for x
    x = 1,532,439,800.65/48,948.78
  6. Step 6: Final answer
    x = 31,307.01

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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.