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Finding the Fourth Proportional to 136,969.52, 205,454.30 and 37,129.72

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Solution

The fourth proportional to 136,969.52, 205,454.30 and 37,129.72 is: 55,694.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,969.52 : 205,454.30 = 37,129.72 : x
  2. Step 2: Convert to fraction form
    136,969.52/205,454.30 = 37,129.72/x
  3. Step 3: Cross multiply
    136,969.52x = 205,454.30 × 37,129.72
  4. Step 4: Simplify right side
    136,969.52x = 7,628,460,631.80
  5. Step 5: Solve for x
    x = 7,628,460,631.80/136,969.52
  6. Step 6: Final answer
    x = 55,694.59

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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.