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Finding the Fourth Proportional to 81,647.54, 122,153.01 and 71,572.31

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Solution

The fourth proportional to 81,647.54, 122,153.01 and 71,572.31 is: 107,079.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,647.54 : 122,153.01 = 71,572.31 : x
  2. Step 2: Convert to fraction form
    81,647.54/122,153.01 = 71,572.31/x
  3. Step 3: Cross multiply
    81,647.54x = 122,153.01 × 71,572.31
  4. Step 4: Simplify right side
    81,647.54x = 8,742,772,627.74
  5. Step 5: Solve for x
    x = 8,742,772,627.74/81,647.54
  6. Step 6: Final answer
    x = 107,079.43

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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.