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Finding the Fourth Proportional to 242,039.75, 334,039.34 and 138,687.63

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Solution

The fourth proportional to 242,039.75, 334,039.34 and 138,687.63 is: 191,402.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,039.75 : 334,039.34 = 138,687.63 : x
  2. Step 2: Convert to fraction form
    242,039.75/334,039.34 = 138,687.63/x
  3. Step 3: Cross multiply
    242,039.75x = 334,039.34 × 138,687.63
  4. Step 4: Simplify right side
    242,039.75x = 46,327,123,485.44
  5. Step 5: Solve for x
    x = 46,327,123,485.44/242,039.75
  6. Step 6: Final answer
    x = 191,402.96

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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.