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Finding the Fourth Proportional to 251,952.14, 347,693.89 and 138,774.89

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Solution

The fourth proportional to 251,952.14, 347,693.89 and 138,774.89 is: 191,509.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,952.14 : 347,693.89 = 138,774.89 : x
  2. Step 2: Convert to fraction form
    251,952.14/347,693.89 = 138,774.89/x
  3. Step 3: Cross multiply
    251,952.14x = 347,693.89 × 138,774.89
  4. Step 4: Simplify right side
    251,952.14x = 48,251,178,906.08
  5. Step 5: Solve for x
    x = 48,251,178,906.08/251,952.14
  6. Step 6: Final answer
    x = 191,509.31

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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.