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Finding the Fourth Proportional to 147,672.40, 221,508.60 and 54,214.60

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Solution

The fourth proportional to 147,672.40, 221,508.60 and 54,214.60 is: 81,321.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,672.40 : 221,508.60 = 54,214.60 : x
  2. Step 2: Convert to fraction form
    147,672.40/221,508.60 = 54,214.60/x
  3. Step 3: Cross multiply
    147,672.40x = 221,508.60 × 54,214.60
  4. Step 4: Simplify right side
    147,672.40x = 12,009,000,145.56
  5. Step 5: Solve for x
    x = 12,009,000,145.56/147,672.40
  6. Step 6: Final answer
    x = 81,321.90

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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.