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Finding the Fourth Proportional to 73,281.60, 109,576.80 and 54,619.20

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Solution

The fourth proportional to 73,281.60, 109,576.80 and 54,619.20 is: 81,671.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,281.60 : 109,576.80 = 54,619.20 : x
  2. Step 2: Convert to fraction form
    73,281.60/109,576.80 = 54,619.20/x
  3. Step 3: Cross multiply
    73,281.60x = 109,576.80 × 54,619.20
  4. Step 4: Simplify right side
    73,281.60x = 5,984,997,154.56
  5. Step 5: Solve for x
    x = 5,984,997,154.56/73,281.60
  6. Step 6: Final answer
    x = 81,671.21

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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.