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Finding the Fourth Proportional to 84,463.74, 126,720.90 and 48,916.78

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Solution

The fourth proportional to 84,463.74, 126,720.90 and 48,916.78 is: 73,389.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,463.74 : 126,720.90 = 48,916.78 : x
  2. Step 2: Convert to fraction form
    84,463.74/126,720.90 = 48,916.78/x
  3. Step 3: Cross multiply
    84,463.74x = 126,720.90 × 48,916.78
  4. Step 4: Simplify right side
    84,463.74x = 6,198,778,069.90
  5. Step 5: Solve for x
    x = 6,198,778,069.90/84,463.74
  6. Step 6: Final answer
    x = 73,389.81

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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.