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Finding the Fourth Proportional to 230,581.28, 345,882.54 and 70,645.76

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Solution

The fourth proportional to 230,581.28, 345,882.54 and 70,645.76 is: 105,971.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,581.28 : 345,882.54 = 70,645.76 : x
  2. Step 2: Convert to fraction form
    230,581.28/345,882.54 = 70,645.76/x
  3. Step 3: Cross multiply
    230,581.28x = 345,882.54 × 70,645.76
  4. Step 4: Simplify right side
    230,581.28x = 24,435,134,909.03
  5. Step 5: Solve for x
    x = 24,435,134,909.03/230,581.28
  6. Step 6: Final answer
    x = 105,971.89

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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.