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Finding the Fourth Proportional to 243,309.76, 335,718.76 and 135,863.26

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Solution

The fourth proportional to 243,309.76, 335,718.76 and 135,863.26 is: 187,464.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,309.76 : 335,718.76 = 135,863.26 : x
  2. Step 2: Convert to fraction form
    243,309.76/335,718.76 = 135,863.26/x
  3. Step 3: Cross multiply
    243,309.76x = 335,718.76 × 135,863.26
  4. Step 4: Simplify right side
    243,309.76x = 45,611,843,498.16
  5. Step 5: Solve for x
    x = 45,611,843,498.16/243,309.76
  6. Step 6: Final answer
    x = 187,464.10

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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.