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Finding the Fourth Proportional to 142,859.16, 197,137.26 and 78,327

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Solution

The fourth proportional to 142,859.16, 197,137.26 and 78,327 is: 108,086.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,859.16 : 197,137.26 = 78,327 : x
  2. Step 2: Convert to fraction form
    142,859.16/197,137.26 = 78,327/x
  3. Step 3: Cross multiply
    142,859.16x = 197,137.26 × 78,327
  4. Step 4: Simplify right side
    142,859.16x = 15,441,170,164.02
  5. Step 5: Solve for x
    x = 15,441,170,164.02/142,859.16
  6. Step 6: Final answer
    x = 108,086.66

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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.