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Finding the Fourth Proportional to 99,759.20, 149,811.60 and 53,103.20

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Solution

The fourth proportional to 99,759.20, 149,811.60 and 53,103.20 is: 79,746.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,759.20 : 149,811.60 = 53,103.20 : x
  2. Step 2: Convert to fraction form
    99,759.20/149,811.60 = 53,103.20/x
  3. Step 3: Cross multiply
    99,759.20x = 149,811.60 × 53,103.20
  4. Step 4: Simplify right side
    99,759.20x = 7,955,475,357.12
  5. Step 5: Solve for x
    x = 7,955,475,357.12/99,759.20
  6. Step 6: Final answer
    x = 79,746.78

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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.