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Finding the Fourth Proportional to 103,456.75, 142,770.47 and 58,744.75

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Solution

The fourth proportional to 103,456.75, 142,770.47 and 58,744.75 is: 81,067.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,456.75 : 142,770.47 = 58,744.75 : x
  2. Step 2: Convert to fraction form
    103,456.75/142,770.47 = 58,744.75/x
  3. Step 3: Cross multiply
    103,456.75x = 142,770.47 × 58,744.75
  4. Step 4: Simplify right side
    103,456.75x = 8,387,015,567.53
  5. Step 5: Solve for x
    x = 8,387,015,567.53/103,456.75
  6. Step 6: Final answer
    x = 81,067.84

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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.