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Finding the Fourth Proportional to 78,114.71, 107,797.03 and 42,304.41

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Solution

The fourth proportional to 78,114.71, 107,797.03 and 42,304.41 is: 58,379.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,114.71 : 107,797.03 = 42,304.41 : x
  2. Step 2: Convert to fraction form
    78,114.71/107,797.03 = 42,304.41/x
  3. Step 3: Cross multiply
    78,114.71x = 107,797.03 × 42,304.41
  4. Step 4: Simplify right side
    78,114.71x = 4,560,289,648.14
  5. Step 5: Solve for x
    x = 4,560,289,648.14/78,114.71
  6. Step 6: Final answer
    x = 58,379.39

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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.