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Finding the Fourth Proportional to 147,321.80, 220,982.70 and 53,815.40

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Solution

The fourth proportional to 147,321.80, 220,982.70 and 53,815.40 is: 80,723.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,321.80 : 220,982.70 = 53,815.40 : x
  2. Step 2: Convert to fraction form
    147,321.80/220,982.70 = 53,815.40/x
  3. Step 3: Cross multiply
    147,321.80x = 220,982.70 × 53,815.40
  4. Step 4: Simplify right side
    147,321.80x = 11,892,272,393.58
  5. Step 5: Solve for x
    x = 11,892,272,393.58/147,321.80
  6. Step 6: Final answer
    x = 80,723.10

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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.