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Finding the Fourth Proportional to 157,891, 217,986.78 and 101,401.96

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Solution

The fourth proportional to 157,891, 217,986.78 and 101,401.96 is: 139,997.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,891 : 217,986.78 = 101,401.96 : x
  2. Step 2: Convert to fraction form
    157,891/217,986.78 = 101,401.96/x
  3. Step 3: Cross multiply
    157,891x = 217,986.78 × 101,401.96
  4. Step 4: Simplify right side
    157,891x = 22,104,286,746.09
  5. Step 5: Solve for x
    x = 22,104,286,746.09/157,891
  6. Step 6: Final answer
    x = 139,997.13

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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.