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Finding the Fourth Proportional to 106,576.96, 147,120 and 72,697.28

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Solution

The fourth proportional to 106,576.96, 147,120 and 72,697.28 is: 100,352.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,576.96 : 147,120 = 72,697.28 : x
  2. Step 2: Convert to fraction form
    106,576.96/147,120 = 72,697.28/x
  3. Step 3: Cross multiply
    106,576.96x = 147,120 × 72,697.28
  4. Step 4: Simplify right side
    106,576.96x = 10,695,223,833.60
  5. Step 5: Solve for x
    x = 10,695,223,833.60/106,576.96
  6. Step 6: Final answer
    x = 100,352.12

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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.