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Finding the Fourth Proportional to 101,215.75, 151,719.94 and 42,085.75

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Solution

The fourth proportional to 101,215.75, 151,719.94 and 42,085.75 is: 63,085.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,215.75 : 151,719.94 = 42,085.75 : x
  2. Step 2: Convert to fraction form
    101,215.75/151,719.94 = 42,085.75/x
  3. Step 3: Cross multiply
    101,215.75x = 151,719.94 × 42,085.75
  4. Step 4: Simplify right side
    101,215.75x = 6,385,247,464.86
  5. Step 5: Solve for x
    x = 6,385,247,464.86/101,215.75
  6. Step 6: Final answer
    x = 63,085.51

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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.