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Finding the Fourth Proportional to 253,055.85, 349,205 and 138,340.41

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Solution

The fourth proportional to 253,055.85, 349,205 and 138,340.41 is: 190,903.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,055.85 : 349,205 = 138,340.41 : x
  2. Step 2: Convert to fraction form
    253,055.85/349,205 = 138,340.41/x
  3. Step 3: Cross multiply
    253,055.85x = 349,205 × 138,340.41
  4. Step 4: Simplify right side
    253,055.85x = 48,309,162,874.05
  5. Step 5: Solve for x
    x = 48,309,162,874.05/253,055.85
  6. Step 6: Final answer
    x = 190,903.17

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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.