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Finding the Fourth Proportional to 243,309.43, 335,743.02 and 135,877.15

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Solution

The fourth proportional to 243,309.43, 335,743.02 and 135,877.15 is: 187,497.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,309.43 : 335,743.02 = 135,877.15 : x
  2. Step 2: Convert to fraction form
    243,309.43/335,743.02 = 135,877.15/x
  3. Step 3: Cross multiply
    243,309.43x = 335,743.02 × 135,877.15
  4. Step 4: Simplify right side
    243,309.43x = 45,619,804,689.99
  5. Step 5: Solve for x
    x = 45,619,804,689.99/243,309.43
  6. Step 6: Final answer
    x = 187,497.07

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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.