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Finding the Fourth Proportional to 84,379.92, 116,440.80 and 48,571.20

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Solution

The fourth proportional to 84,379.92, 116,440.80 and 48,571.20 is: 67,026.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,379.92 : 116,440.80 = 48,571.20 : x
  2. Step 2: Convert to fraction form
    84,379.92/116,440.80 = 48,571.20/x
  3. Step 3: Cross multiply
    84,379.92x = 116,440.80 × 48,571.20
  4. Step 4: Simplify right side
    84,379.92x = 5,655,669,384.96
  5. Step 5: Solve for x
    x = 5,655,669,384.96/84,379.92
  6. Step 6: Final answer
    x = 67,026.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.