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Finding the Fourth Proportional to 252,881.34, 349,000.39 and 138,177.42

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Solution

The fourth proportional to 252,881.34, 349,000.39 and 138,177.42 is: 190,698.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,881.34 : 349,000.39 = 138,177.42 : x
  2. Step 2: Convert to fraction form
    252,881.34/349,000.39 = 138,177.42/x
  3. Step 3: Cross multiply
    252,881.34x = 349,000.39 × 138,177.42
  4. Step 4: Simplify right side
    252,881.34x = 48,223,973,469.19
  5. Step 5: Solve for x
    x = 48,223,973,469.19/252,881.34
  6. Step 6: Final answer
    x = 190,698.03

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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.