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Finding the Fourth Proportional to 130,772.56, 180,472.14 and 72,629.56

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Solution

The fourth proportional to 130,772.56, 180,472.14 and 72,629.56 is: 100,232.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,772.56 : 180,472.14 = 72,629.56 : x
  2. Step 2: Convert to fraction form
    130,772.56/180,472.14 = 72,629.56/x
  3. Step 3: Cross multiply
    130,772.56x = 180,472.14 × 72,629.56
  4. Step 4: Simplify right side
    130,772.56x = 13,107,612,120.46
  5. Step 5: Solve for x
    x = 13,107,612,120.46/130,772.56
  6. Step 6: Final answer
    x = 100,232.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.