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Finding the Fourth Proportional to 142,119, 196,121.79 and 78,455.43

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Solution

The fourth proportional to 142,119, 196,121.79 and 78,455.43 is: 108,267.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,119 : 196,121.79 = 78,455.43 : x
  2. Step 2: Convert to fraction form
    142,119/196,121.79 = 78,455.43/x
  3. Step 3: Cross multiply
    142,119x = 196,121.79 × 78,455.43
  4. Step 4: Simplify right side
    142,119x = 15,386,819,366.82
  5. Step 5: Solve for x
    x = 15,386,819,366.82/142,119
  6. Step 6: Final answer
    x = 108,267.15

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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.