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Finding the Fourth Proportional to 72,443.60, 108,665.40 and 54,947.60

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Solution

The fourth proportional to 72,443.60, 108,665.40 and 54,947.60 is: 82,421.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,443.60 : 108,665.40 = 54,947.60 : x
  2. Step 2: Convert to fraction form
    72,443.60/108,665.40 = 54,947.60/x
  3. Step 3: Cross multiply
    72,443.60x = 108,665.40 × 54,947.60
  4. Step 4: Simplify right side
    72,443.60x = 5,970,902,933.04
  5. Step 5: Solve for x
    x = 5,970,902,933.04/72,443.60
  6. Step 6: Final answer
    x = 82,421.40

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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.