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Finding the Fourth Proportional to 73,159.78, 109,740.06 and 20,569.72

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Solution

The fourth proportional to 73,159.78, 109,740.06 and 20,569.72 is: 30,854.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,159.78 : 109,740.06 = 20,569.72 : x
  2. Step 2: Convert to fraction form
    73,159.78/109,740.06 = 20,569.72/x
  3. Step 3: Cross multiply
    73,159.78x = 109,740.06 × 20,569.72
  4. Step 4: Simplify right side
    73,159.78x = 2,257,322,306.98
  5. Step 5: Solve for x
    x = 2,257,322,306.98/73,159.78
  6. Step 6: Final answer
    x = 30,854.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.