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Finding the Fourth Proportional to 243,281.24, 335,724.94 and 135,853.16

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Solution

The fourth proportional to 243,281.24, 335,724.94 and 135,853.16 is: 187,475.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,281.24 : 335,724.94 = 135,853.16 : x
  2. Step 2: Convert to fraction form
    243,281.24/335,724.94 = 135,853.16/x
  3. Step 3: Cross multiply
    243,281.24x = 335,724.94 × 135,853.16
  4. Step 4: Simplify right side
    243,281.24x = 45,609,293,989.81
  5. Step 5: Solve for x
    x = 45,609,293,989.81/243,281.24
  6. Step 6: Final answer
    x = 187,475.59

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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.