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Finding the Fourth Proportional to 252,909.48, 349,011 and 138,185.67

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Solution

The fourth proportional to 252,909.48, 349,011 and 138,185.67 is: 190,693.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,909.48 : 349,011 = 138,185.67 : x
  2. Step 2: Convert to fraction form
    252,909.48/349,011 = 138,185.67/x
  3. Step 3: Cross multiply
    252,909.48x = 349,011 × 138,185.67
  4. Step 4: Simplify right side
    252,909.48x = 48,228,318,872.37
  5. Step 5: Solve for x
    x = 48,228,318,872.37/252,909.48
  6. Step 6: Final answer
    x = 190,693.99

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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.