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Finding the Fourth Proportional to 78,245.92, 107,978.70 and 44,261.02

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Solution

The fourth proportional to 78,245.92, 107,978.70 and 44,261.02 is: 61,079.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,245.92 : 107,978.70 = 44,261.02 : x
  2. Step 2: Convert to fraction form
    78,245.92/107,978.70 = 44,261.02/x
  3. Step 3: Cross multiply
    78,245.92x = 107,978.70 × 44,261.02
  4. Step 4: Simplify right side
    78,245.92x = 4,779,247,400.27
  5. Step 5: Solve for x
    x = 4,779,247,400.27/78,245.92
  6. Step 6: Final answer
    x = 61,079.83

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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.