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Finding the Fourth Proportional to 78,454.33, 108,267.14 and 42,644.26

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Solution

The fourth proportional to 78,454.33, 108,267.14 and 42,644.26 is: 58,849.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,454.33 : 108,267.14 = 42,644.26 : x
  2. Step 2: Convert to fraction form
    78,454.33/108,267.14 = 42,644.26/x
  3. Step 3: Cross multiply
    78,454.33x = 108,267.14 × 42,644.26
  4. Step 4: Simplify right side
    78,454.33x = 4,616,972,067.62
  5. Step 5: Solve for x
    x = 4,616,972,067.62/78,454.33
  6. Step 6: Final answer
    x = 58,849.17

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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.