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Finding the Fourth Proportional to 78,414.40, 108,210 and 42,603.60

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Solution

The fourth proportional to 78,414.40, 108,210 and 42,603.60 is: 58,791.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,414.40 : 108,210 = 42,603.60 : x
  2. Step 2: Convert to fraction form
    78,414.40/108,210 = 42,603.60/x
  3. Step 3: Cross multiply
    78,414.40x = 108,210 × 42,603.60
  4. Step 4: Simplify right side
    78,414.40x = 4,610,135,556
  5. Step 5: Solve for x
    x = 4,610,135,556/78,414.40
  6. Step 6: Final answer
    x = 58,791.95

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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.