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Finding the Fourth Proportional to 78,723.80, 118,085.70 and 48,761.90

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Solution

The fourth proportional to 78,723.80, 118,085.70 and 48,761.90 is: 73,142.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,723.80 : 118,085.70 = 48,761.90 : x
  2. Step 2: Convert to fraction form
    78,723.80/118,085.70 = 48,761.90/x
  3. Step 3: Cross multiply
    78,723.80x = 118,085.70 × 48,761.90
  4. Step 4: Simplify right side
    78,723.80x = 5,758,083,094.83
  5. Step 5: Solve for x
    x = 5,758,083,094.83/78,723.80
  6. Step 6: Final answer
    x = 73,142.85

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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.