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Finding the Fourth Proportional to 150,234.92, 207,335.69 and 85,705.58

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Solution

The fourth proportional to 150,234.92, 207,335.69 and 85,705.58 is: 118,280.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,234.92 : 207,335.69 = 85,705.58 : x
  2. Step 2: Convert to fraction form
    150,234.92/207,335.69 = 85,705.58/x
  3. Step 3: Cross multiply
    150,234.92x = 207,335.69 × 85,705.58
  4. Step 4: Simplify right side
    150,234.92x = 17,769,824,100.94
  5. Step 5: Solve for x
    x = 17,769,824,100.94/150,234.92
  6. Step 6: Final answer
    x = 118,280.26

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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.