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Finding the Fourth Proportional to 73,124.78, 109,686.65 and 20,534.31

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Solution

The fourth proportional to 73,124.78, 109,686.65 and 20,534.31 is: 30,801.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,124.78 : 109,686.65 = 20,534.31 : x
  2. Step 2: Convert to fraction form
    73,124.78/109,686.65 = 20,534.31/x
  3. Step 3: Cross multiply
    73,124.78x = 109,686.65 × 20,534.31
  4. Step 4: Simplify right side
    73,124.78x = 2,252,339,571.29
  5. Step 5: Solve for x
    x = 2,252,339,571.29/73,124.78
  6. Step 6: Final answer
    x = 30,801.32

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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.