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Finding the Fourth Proportional to 131,698.56, 197,372.88 and 75,565.56

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Solution

The fourth proportional to 131,698.56, 197,372.88 and 75,565.56 is: 113,247.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,698.56 : 197,372.88 = 75,565.56 : x
  2. Step 2: Convert to fraction form
    131,698.56/197,372.88 = 75,565.56/x
  3. Step 3: Cross multiply
    131,698.56x = 197,372.88 × 75,565.56
  4. Step 4: Simplify right side
    131,698.56x = 14,914,592,206.01
  5. Step 5: Solve for x
    x = 14,914,592,206.01/131,698.56
  6. Step 6: Final answer
    x = 113,247.95

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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.