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Finding the Fourth Proportional to 142,959.85, 197,284.79 and 79,297.64

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Solution

The fourth proportional to 142,959.85, 197,284.79 and 79,297.64 is: 109,430.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,959.85 : 197,284.79 = 79,297.64 : x
  2. Step 2: Convert to fraction form
    142,959.85/197,284.79 = 79,297.64/x
  3. Step 3: Cross multiply
    142,959.85x = 197,284.79 × 79,297.64
  4. Step 4: Simplify right side
    142,959.85x = 15,644,218,351.62
  5. Step 5: Solve for x
    x = 15,644,218,351.62/142,959.85
  6. Step 6: Final answer
    x = 109,430.86

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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.