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Finding the Fourth Proportional to 142,859.70, 197,148.78 and 78,327.59

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Solution

The fourth proportional to 142,859.70, 197,148.78 and 78,327.59 is: 108,093.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,859.70 : 197,148.78 = 78,327.59 : x
  2. Step 2: Convert to fraction form
    142,859.70/197,148.78 = 78,327.59/x
  3. Step 3: Cross multiply
    142,859.70x = 197,148.78 × 78,327.59
  4. Step 4: Simplify right side
    142,859.70x = 15,442,187,823.10
  5. Step 5: Solve for x
    x = 15,442,187,823.10/142,859.70
  6. Step 6: Final answer
    x = 108,093.38

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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.