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Finding the Fourth Proportional to 142,161.63, 196,180.70 and 78,497.79

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Solution

The fourth proportional to 142,161.63, 196,180.70 and 78,497.79 is: 108,325.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,161.63 : 196,180.70 = 78,497.79 : x
  2. Step 2: Convert to fraction form
    142,161.63/196,180.70 = 78,497.79/x
  3. Step 3: Cross multiply
    142,161.63x = 196,180.70 × 78,497.79
  4. Step 4: Simplify right side
    142,161.63x = 15,399,750,998.16
  5. Step 5: Solve for x
    x = 15,399,750,998.16/142,161.63
  6. Step 6: Final answer
    x = 108,325.65

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1.5x scale

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.