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Finding the Fourth Proportional to 251,080, 346,521.12 and 145,096

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Solution

The fourth proportional to 251,080, 346,521.12 and 145,096 is: 200,250.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,080 : 346,521.12 = 145,096 : x
  2. Step 2: Convert to fraction form
    251,080/346,521.12 = 145,096/x
  3. Step 3: Cross multiply
    251,080x = 346,521.12 × 145,096
  4. Step 4: Simplify right side
    251,080x = 50,278,828,427.52
  5. Step 5: Solve for x
    x = 50,278,828,427.52/251,080
  6. Step 6: Final answer
    x = 200,250.23

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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.