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Finding the Fourth Proportional to 78,040.87, 107,696.49 and 42,230.88

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Solution

The fourth proportional to 78,040.87, 107,696.49 and 42,230.88 is: 58,278.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,040.87 : 107,696.49 = 42,230.88 : x
  2. Step 2: Convert to fraction form
    78,040.87/107,696.49 = 42,230.88/x
  3. Step 3: Cross multiply
    78,040.87x = 107,696.49 × 42,230.88
  4. Step 4: Simplify right side
    78,040.87x = 4,548,117,084.35
  5. Step 5: Solve for x
    x = 4,548,117,084.35/78,040.87
  6. Step 6: Final answer
    x = 58,278.66

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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.