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Finding the Fourth Proportional to 78,443.75, 117,615.71 and 36,267.46

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Solution

The fourth proportional to 78,443.75, 117,615.71 and 36,267.46 is: 54,378.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,443.75 : 117,615.71 = 36,267.46 : x
  2. Step 2: Convert to fraction form
    78,443.75/117,615.71 = 36,267.46/x
  3. Step 3: Cross multiply
    78,443.75x = 117,615.71 × 36,267.46
  4. Step 4: Simplify right side
    78,443.75x = 4,265,622,854.43
  5. Step 5: Solve for x
    x = 4,265,622,854.43/78,443.75
  6. Step 6: Final answer
    x = 54,378.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.