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Finding the Fourth Proportional to 252,898.34, 348,995.57 and 138,174.50

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Solution

The fourth proportional to 252,898.34, 348,995.57 and 138,174.50 is: 190,678.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,898.34 : 348,995.57 = 138,174.50 : x
  2. Step 2: Convert to fraction form
    252,898.34/348,995.57 = 138,174.50/x
  3. Step 3: Cross multiply
    252,898.34x = 348,995.57 × 138,174.50
  4. Step 4: Simplify right side
    252,898.34x = 48,222,289,086.74
  5. Step 5: Solve for x
    x = 48,222,289,086.74/252,898.34
  6. Step 6: Final answer
    x = 190,678.56

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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.