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Finding the Fourth Proportional to 134,576.56, 185,713.20 and 77,993.20

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Solution

The fourth proportional to 134,576.56, 185,713.20 and 77,993.20 is: 107,629.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,576.56 : 185,713.20 = 77,993.20 : x
  2. Step 2: Convert to fraction form
    134,576.56/185,713.20 = 77,993.20/x
  3. Step 3: Cross multiply
    134,576.56x = 185,713.20 × 77,993.20
  4. Step 4: Simplify right side
    134,576.56x = 14,484,366,750.24
  5. Step 5: Solve for x
    x = 14,484,366,750.24/134,576.56
  6. Step 6: Final answer
    x = 107,629.19

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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.