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Finding the Fourth Proportional to 101,998.30, 152,695.05 and 75,819.10

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Solution

The fourth proportional to 101,998.30, 152,695.05 and 75,819.10 is: 113,503.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,998.30 : 152,695.05 = 75,819.10 : x
  2. Step 2: Convert to fraction form
    101,998.30/152,695.05 = 75,819.10/x
  3. Step 3: Cross multiply
    101,998.30x = 152,695.05 × 75,819.10
  4. Step 4: Simplify right side
    101,998.30x = 11,577,201,265.46
  5. Step 5: Solve for x
    x = 11,577,201,265.46/101,998.30
  6. Step 6: Final answer
    x = 113,503.86

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1.5x scale

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.