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Finding the Fourth Proportional to 142,658, 196,873.97 and 78,995.79

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Solution

The fourth proportional to 142,658, 196,873.97 and 78,995.79 is: 109,017.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,658 : 196,873.97 = 78,995.79 : x
  2. Step 2: Convert to fraction form
    142,658/196,873.97 = 78,995.79/x
  3. Step 3: Cross multiply
    142,658x = 196,873.97 × 78,995.79
  4. Step 4: Simplify right side
    142,658x = 15,552,214,790.59
  5. Step 5: Solve for x
    x = 15,552,214,790.59/142,658
  6. Step 6: Final answer
    x = 109,017.47

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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.