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Finding the Fourth Proportional to 78,649.08, 108,537.39 and 42,839.00

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Solution

The fourth proportional to 78,649.08, 108,537.39 and 42,839.00 is: 59,118.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,649.08 : 108,537.39 = 42,839.00 : x
  2. Step 2: Convert to fraction form
    78,649.08/108,537.39 = 42,839.00/x
  3. Step 3: Cross multiply
    78,649.08x = 108,537.39 × 42,839.00
  4. Step 4: Simplify right side
    78,649.08x = 4,649,633,540.28
  5. Step 5: Solve for x
    x = 4,649,633,540.28/78,649.08
  6. Step 6: Final answer
    x = 59,118.73

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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.