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Finding the Fourth Proportional to 90,819.20, 136,228.80 and 81,603.20

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Solution

The fourth proportional to 90,819.20, 136,228.80 and 81,603.20 is: 122,404.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,819.20 : 136,228.80 = 81,603.20 : x
  2. Step 2: Convert to fraction form
    90,819.20/136,228.80 = 81,603.20/x
  3. Step 3: Cross multiply
    90,819.20x = 136,228.80 × 81,603.20
  4. Step 4: Simplify right side
    90,819.20x = 11,116,706,012.16
  5. Step 5: Solve for x
    x = 11,116,706,012.16/90,819.20
  6. Step 6: Final answer
    x = 122,404.80

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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.