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Finding the Fourth Proportional to 158,575.96, 218,949.67 and 102,085.75

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Solution

The fourth proportional to 158,575.96, 218,949.67 and 102,085.75 is: 140,952.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,575.96 : 218,949.67 = 102,085.75 : x
  2. Step 2: Convert to fraction form
    158,575.96/218,949.67 = 102,085.75/x
  3. Step 3: Cross multiply
    158,575.96x = 218,949.67 × 102,085.75
  4. Step 4: Simplify right side
    158,575.96x = 22,351,641,274.20
  5. Step 5: Solve for x
    x = 22,351,641,274.20/158,575.96
  6. Step 6: Final answer
    x = 140,952.27

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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.