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Finding the Fourth Proportional to 243,009.14, 335,368.74 and 135,581.46

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Solution

The fourth proportional to 243,009.14, 335,368.74 and 135,581.46 is: 187,111.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,009.14 : 335,368.74 = 135,581.46 : x
  2. Step 2: Convert to fraction form
    243,009.14/335,368.74 = 135,581.46/x
  3. Step 3: Cross multiply
    243,009.14x = 335,368.74 × 135,581.46
  4. Step 4: Simplify right side
    243,009.14x = 45,469,783,407.56
  5. Step 5: Solve for x
    x = 45,469,783,407.56/243,009.14
  6. Step 6: Final answer
    x = 187,111.41

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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.