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Finding the Fourth Proportional to 157,850.43, 217,830.84 and 86,228.61

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Solution

The fourth proportional to 157,850.43, 217,830.84 and 86,228.61 is: 118,993.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,850.43 : 217,830.84 = 86,228.61 : x
  2. Step 2: Convert to fraction form
    157,850.43/217,830.84 = 86,228.61/x
  3. Step 3: Cross multiply
    157,850.43x = 217,830.84 × 86,228.61
  4. Step 4: Simplify right side
    157,850.43x = 18,783,249,459.18
  5. Step 5: Solve for x
    x = 18,783,249,459.18/157,850.43
  6. Step 6: Final answer
    x = 118,993.97

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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.