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Finding the Fourth Proportional to 142,937.70, 197,266.14 and 79,296

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Solution

The fourth proportional to 142,937.70, 197,266.14 and 79,296 is: 109,435.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,937.70 : 197,266.14 = 79,296 : x
  2. Step 2: Convert to fraction form
    142,937.70/197,266.14 = 79,296/x
  3. Step 3: Cross multiply
    142,937.70x = 197,266.14 × 79,296
  4. Step 4: Simplify right side
    142,937.70x = 15,642,415,837.44
  5. Step 5: Solve for x
    x = 15,642,415,837.44/142,937.70
  6. Step 6: Final answer
    x = 109,435.20

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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.