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Finding the Fourth Proportional to 251,478, 347,040.72 and 138,309.12

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Solution

The fourth proportional to 251,478, 347,040.72 and 138,309.12 is: 190,867.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,478 : 347,040.72 = 138,309.12 : x
  2. Step 2: Convert to fraction form
    251,478/347,040.72 = 138,309.12/x
  3. Step 3: Cross multiply
    251,478x = 347,040.72 × 138,309.12
  4. Step 4: Simplify right side
    251,478x = 47,998,896,587.37
  5. Step 5: Solve for x
    x = 47,998,896,587.37/251,478
  6. Step 6: Final answer
    x = 190,867.18

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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.