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Finding the Fourth Proportional to 81,486.40, 122,132.40 and 42,023.20

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Solution

The fourth proportional to 81,486.40, 122,132.40 and 42,023.20 is: 62,984.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,486.40 : 122,132.40 = 42,023.20 : x
  2. Step 2: Convert to fraction form
    81,486.40/122,132.40 = 42,023.20/x
  3. Step 3: Cross multiply
    81,486.40x = 122,132.40 × 42,023.20
  4. Step 4: Simplify right side
    81,486.40x = 5,132,394,271.68
  5. Step 5: Solve for x
    x = 5,132,394,271.68/81,486.40
  6. Step 6: Final answer
    x = 62,984.67

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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.