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Finding the Fourth Proportional to 129,444, 194,165.76 and 74,001.12

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Solution

The fourth proportional to 129,444, 194,165.76 and 74,001.12 is: 111,001.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,444 : 194,165.76 = 74,001.12 : x
  2. Step 2: Convert to fraction form
    129,444/194,165.76 = 74,001.12/x
  3. Step 3: Cross multiply
    129,444x = 194,165.76 × 74,001.12
  4. Step 4: Simplify right side
    129,444x = 14,368,483,705.65
  5. Step 5: Solve for x
    x = 14,368,483,705.65/129,444
  6. Step 6: Final answer
    x = 111,001.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.