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Finding the Fourth Proportional to 141,081.91, 194,695.41 and 77,425.63

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Solution

The fourth proportional to 141,081.91, 194,695.41 and 77,425.63 is: 106,848.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,081.91 : 194,695.41 = 77,425.63 : x
  2. Step 2: Convert to fraction form
    141,081.91/194,695.41 = 77,425.63/x
  3. Step 3: Cross multiply
    141,081.91x = 194,695.41 × 77,425.63
  4. Step 4: Simplify right side
    141,081.91x = 15,074,414,580.97
  5. Step 5: Solve for x
    x = 15,074,414,580.97/141,081.91
  6. Step 6: Final answer
    x = 106,848.67

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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.