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Finding the Fourth Proportional to 142,951.84, 197,297.16 and 79,310.14

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Solution

The fourth proportional to 142,951.84, 197,297.16 and 79,310.14 is: 109,461.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,951.84 : 197,297.16 = 79,310.14 : x
  2. Step 2: Convert to fraction form
    142,951.84/197,297.16 = 79,310.14/x
  3. Step 3: Cross multiply
    142,951.84x = 197,297.16 × 79,310.14
  4. Step 4: Simplify right side
    142,951.84x = 15,647,665,381.20
  5. Step 5: Solve for x
    x = 15,647,665,381.20/142,951.84
  6. Step 6: Final answer
    x = 109,461.10

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1.5x scale

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.