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Finding the Fourth Proportional to 137,179.78, 205,806.65 and 57,191.16

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Solution

The fourth proportional to 137,179.78, 205,806.65 and 57,191.16 is: 85,802.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,179.78 : 205,806.65 = 57,191.16 : x
  2. Step 2: Convert to fraction form
    137,179.78/205,806.65 = 57,191.16/x
  3. Step 3: Cross multiply
    137,179.78x = 205,806.65 × 57,191.16
  4. Step 4: Simplify right side
    137,179.78x = 11,770,320,763.26
  5. Step 5: Solve for x
    x = 11,770,320,763.26/137,179.78
  6. Step 6: Final answer
    x = 85,802.16

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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.