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Finding the Fourth Proportional to 78,424.55, 117,636.67 and 22,265.17

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Solution

The fourth proportional to 78,424.55, 117,636.67 and 22,265.17 is: 33,397.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,424.55 : 117,636.67 = 22,265.17 : x
  2. Step 2: Convert to fraction form
    78,424.55/117,636.67 = 22,265.17/x
  3. Step 3: Cross multiply
    78,424.55x = 117,636.67 × 22,265.17
  4. Step 4: Simplify right side
    78,424.55x = 2,619,200,106.03
  5. Step 5: Solve for x
    x = 2,619,200,106.03/78,424.55
  6. Step 6: Final answer
    x = 33,397.71

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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.