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Finding the Fourth Proportional to 253,195.50, 349,395.66 and 138,451.38

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Solution

The fourth proportional to 253,195.50, 349,395.66 and 138,451.38 is: 191,055.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,195.50 : 349,395.66 = 138,451.38 : x
  2. Step 2: Convert to fraction form
    253,195.50/349,395.66 = 138,451.38/x
  3. Step 3: Cross multiply
    253,195.50x = 349,395.66 × 138,451.38
  4. Step 4: Simplify right side
    253,195.50x = 48,374,311,293.01
  5. Step 5: Solve for x
    x = 48,374,311,293.01/253,195.50
  6. Step 6: Final answer
    x = 191,055.18

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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.