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Finding the Fourth Proportional to 134,149.28, 185,048.91 and 83,760.80

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Solution

The fourth proportional to 134,149.28, 185,048.91 and 83,760.80 is: 115,541.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,149.28 : 185,048.91 = 83,760.80 : x
  2. Step 2: Convert to fraction form
    134,149.28/185,048.91 = 83,760.80/x
  3. Step 3: Cross multiply
    134,149.28x = 185,048.91 × 83,760.80
  4. Step 4: Simplify right side
    134,149.28x = 15,499,843,815.48
  5. Step 5: Solve for x
    x = 15,499,843,815.48/134,149.28
  6. Step 6: Final answer
    x = 115,541.76

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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.