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Finding the Fourth Proportional to 78,309.44, 108,065.92 and 42,499.52

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Solution

The fourth proportional to 78,309.44, 108,065.92 and 42,499.52 is: 58,648.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,309.44 : 108,065.92 = 42,499.52 : x
  2. Step 2: Convert to fraction form
    78,309.44/108,065.92 = 42,499.52/x
  3. Step 3: Cross multiply
    78,309.44x = 108,065.92 × 42,499.52
  4. Step 4: Simplify right side
    78,309.44x = 4,592,749,728.36
  5. Step 5: Solve for x
    x = 4,592,749,728.36/78,309.44
  6. Step 6: Final answer
    x = 58,648.74

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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.