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Finding the Fourth Proportional to 142,375.70, 196,482.56 and 78,717.59

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Solution

The fourth proportional to 142,375.70, 196,482.56 and 78,717.59 is: 108,632.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,375.70 : 196,482.56 = 78,717.59 : x
  2. Step 2: Convert to fraction form
    142,375.70/196,482.56 = 78,717.59/x
  3. Step 3: Cross multiply
    142,375.70x = 196,482.56 × 78,717.59
  4. Step 4: Simplify right side
    142,375.70x = 15,466,632,224.23
  5. Step 5: Solve for x
    x = 15,466,632,224.23/142,375.70
  6. Step 6: Final answer
    x = 108,632.53

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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.