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Finding the Fourth Proportional to 238,208.94, 356,846.30 and 138,158.96

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Solution

The fourth proportional to 238,208.94, 356,846.30 and 138,158.96 is: 206,967.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,208.94 : 356,846.30 = 138,158.96 : x
  2. Step 2: Convert to fraction form
    238,208.94/356,846.30 = 138,158.96/x
  3. Step 3: Cross multiply
    238,208.94x = 356,846.30 × 138,158.96
  4. Step 4: Simplify right side
    238,208.94x = 49,301,513,687.85
  5. Step 5: Solve for x
    x = 49,301,513,687.85/238,208.94
  6. Step 6: Final answer
    x = 206,967.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.