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Finding the Fourth Proportional to 142,305.39, 196,373.77 and 78,639.39

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Solution

The fourth proportional to 142,305.39, 196,373.77 and 78,639.39 is: 108,518.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,305.39 : 196,373.77 = 78,639.39 : x
  2. Step 2: Convert to fraction form
    142,305.39/196,373.77 = 78,639.39/x
  3. Step 3: Cross multiply
    142,305.39x = 196,373.77 × 78,639.39
  4. Step 4: Simplify right side
    142,305.39x = 15,442,713,288.20
  5. Step 5: Solve for x
    x = 15,442,713,288.20/142,305.39
  6. Step 6: Final answer
    x = 108,518.12

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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.