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Finding the Fourth Proportional to 81,486.90, 122,302.35 and 48,165.30

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Solution

The fourth proportional to 81,486.90, 122,302.35 and 48,165.30 is: 72,290.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,486.90 : 122,302.35 = 48,165.30 : x
  2. Step 2: Convert to fraction form
    81,486.90/122,302.35 = 48,165.30/x
  3. Step 3: Cross multiply
    81,486.90x = 122,302.35 × 48,165.30
  4. Step 4: Simplify right side
    81,486.90x = 5,890,729,378.46
  5. Step 5: Solve for x
    x = 5,890,729,378.46/81,486.90
  6. Step 6: Final answer
    x = 72,290.51

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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.