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Finding the Fourth Proportional to 110,084.32, 151,955.12 and 65,372

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Solution

The fourth proportional to 110,084.32, 151,955.12 and 65,372 is: 90,236.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,084.32 : 151,955.12 = 65,372 : x
  2. Step 2: Convert to fraction form
    110,084.32/151,955.12 = 65,372/x
  3. Step 3: Cross multiply
    110,084.32x = 151,955.12 × 65,372
  4. Step 4: Simplify right side
    110,084.32x = 9,933,610,104.64
  5. Step 5: Solve for x
    x = 9,933,610,104.64/110,084.32
  6. Step 6: Final answer
    x = 90,236.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.