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Finding the Fourth Proportional to 78,649.36, 108,535.95 and 42,839.28

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Solution

The fourth proportional to 78,649.36, 108,535.95 and 42,839.28 is: 59,118.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,649.36 : 108,535.95 = 42,839.28 : x
  2. Step 2: Convert to fraction form
    78,649.36/108,535.95 = 42,839.28/x
  3. Step 3: Cross multiply
    78,649.36x = 108,535.95 × 42,839.28
  4. Step 4: Simplify right side
    78,649.36x = 4,649,601,952.12
  5. Step 5: Solve for x
    x = 4,649,601,952.12/78,649.36
  6. Step 6: Final answer
    x = 59,118.12

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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.