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Finding the Fourth Proportional to 101,138.60, 151,707.90 and 69,645.80

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Solution

The fourth proportional to 101,138.60, 151,707.90 and 69,645.80 is: 104,468.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,138.60 : 151,707.90 = 69,645.80 : x
  2. Step 2: Convert to fraction form
    101,138.60/151,707.90 = 69,645.80/x
  3. Step 3: Cross multiply
    101,138.60x = 151,707.90 × 69,645.80
  4. Step 4: Simplify right side
    101,138.60x = 10,565,818,061.82
  5. Step 5: Solve for x
    x = 10,565,818,061.82/101,138.60
  6. Step 6: Final answer
    x = 104,468.70

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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.