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Finding the Fourth Proportional to 157,433.23, 217,105.23 and 99,971.20

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Solution

The fourth proportional to 157,433.23, 217,105.23 and 99,971.20 is: 137,863.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,433.23 : 217,105.23 = 99,971.20 : x
  2. Step 2: Convert to fraction form
    157,433.23/217,105.23 = 99,971.20/x
  3. Step 3: Cross multiply
    157,433.23x = 217,105.23 × 99,971.20
  4. Step 4: Simplify right side
    157,433.23x = 21,704,270,369.38
  5. Step 5: Solve for x
    x = 21,704,270,369.38/157,433.23
  6. Step 6: Final answer
    x = 137,863.34

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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.