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Finding the Fourth Proportional to 157,589.39, 217,469.70 and 85,971.93

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Solution

The fourth proportional to 157,589.39, 217,469.70 and 85,971.93 is: 118,639.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,589.39 : 217,469.70 = 85,971.93 : x
  2. Step 2: Convert to fraction form
    157,589.39/217,469.70 = 85,971.93/x
  3. Step 3: Cross multiply
    157,589.39x = 217,469.70 × 85,971.93
  4. Step 4: Simplify right side
    157,589.39x = 18,696,289,825.52
  5. Step 5: Solve for x
    x = 18,696,289,825.52/157,589.39
  6. Step 6: Final answer
    x = 118,639.27

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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.