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Finding the Fourth Proportional to 81,466.40, 122,102.40 and 42,003.20

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Solution

The fourth proportional to 81,466.40, 122,102.40 and 42,003.20 is: 62,954.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,466.40 : 122,102.40 = 42,003.20 : x
  2. Step 2: Convert to fraction form
    81,466.40/122,102.40 = 42,003.20/x
  3. Step 3: Cross multiply
    81,466.40x = 122,102.40 × 42,003.20
  4. Step 4: Simplify right side
    81,466.40x = 5,128,691,527.68
  5. Step 5: Solve for x
    x = 5,128,691,527.68/81,466.40
  6. Step 6: Final answer
    x = 62,954.68

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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.