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Finding the Fourth Proportional to 243,115.92, 335,516.80 and 135,706.86

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Solution

The fourth proportional to 243,115.92, 335,516.80 and 135,706.86 is: 187,284.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,115.92 : 335,516.80 = 135,706.86 : x
  2. Step 2: Convert to fraction form
    243,115.92/335,516.80 = 135,706.86/x
  3. Step 3: Cross multiply
    243,115.92x = 335,516.80 × 135,706.86
  4. Step 4: Simplify right side
    243,115.92x = 45,531,931,405.25
  5. Step 5: Solve for x
    x = 45,531,931,405.25/243,115.92
  6. Step 6: Final answer
    x = 187,284.86

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1.5x scale

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.