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Finding the Fourth Proportional to 101,082.20, 151,364.10 and 74,643.80

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Solution

The fourth proportional to 101,082.20, 151,364.10 and 74,643.80 is: 111,774.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,082.20 : 151,364.10 = 74,643.80 : x
  2. Step 2: Convert to fraction form
    101,082.20/151,364.10 = 74,643.80/x
  3. Step 3: Cross multiply
    101,082.20x = 151,364.10 × 74,643.80
  4. Step 4: Simplify right side
    101,082.20x = 11,298,391,607.58
  5. Step 5: Solve for x
    x = 11,298,391,607.58/101,082.20
  6. Step 6: Final answer
    x = 111,774.29

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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.