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Finding the Fourth Proportional to 78,416.55, 108,212.43 and 42,605.79

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Solution

The fourth proportional to 78,416.55, 108,212.43 and 42,605.79 is: 58,794.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,416.55 : 108,212.43 = 42,605.79 : x
  2. Step 2: Convert to fraction form
    78,416.55/108,212.43 = 42,605.79/x
  3. Step 3: Cross multiply
    78,416.55x = 108,212.43 × 42,605.79
  4. Step 4: Simplify right side
    78,416.55x = 4,610,476,067.97
  5. Step 5: Solve for x
    x = 4,610,476,067.97/78,416.55
  6. Step 6: Final answer
    x = 58,794.68

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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.