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Finding the Fourth Proportional to 252,959.49, 349,089.11 and 138,245.24

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Solution

The fourth proportional to 252,959.49, 349,089.11 and 138,245.24 is: 190,781.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,959.49 : 349,089.11 = 138,245.24 : x
  2. Step 2: Convert to fraction form
    252,959.49/349,089.11 = 138,245.24/x
  3. Step 3: Cross multiply
    252,959.49x = 349,089.11 × 138,245.24
  4. Step 4: Simplify right side
    252,959.49x = 48,259,905,356.66
  5. Step 5: Solve for x
    x = 48,259,905,356.66/252,959.49
  6. Step 6: Final answer
    x = 190,781.16

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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.