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Finding the Fourth Proportional to 142,076.66, 196,065.39 and 78,414

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Solution

The fourth proportional to 142,076.66, 196,065.39 and 78,414 is: 108,211.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,076.66 : 196,065.39 = 78,414 : x
  2. Step 2: Convert to fraction form
    142,076.66/196,065.39 = 78,414/x
  3. Step 3: Cross multiply
    142,076.66x = 196,065.39 × 78,414
  4. Step 4: Simplify right side
    142,076.66x = 15,374,271,197.41
  5. Step 5: Solve for x
    x = 15,374,271,197.41/142,076.66
  6. Step 6: Final answer
    x = 108,211.10

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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.