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Finding the Fourth Proportional to 157,412.72, 217,223.23 and 85,791.21

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Solution

The fourth proportional to 157,412.72, 217,223.23 and 85,791.21 is: 118,388.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,412.72 : 217,223.23 = 85,791.21 : x
  2. Step 2: Convert to fraction form
    157,412.72/217,223.23 = 85,791.21/x
  3. Step 3: Cross multiply
    157,412.72x = 217,223.23 × 85,791.21
  4. Step 4: Simplify right side
    157,412.72x = 18,635,843,741.81
  5. Step 5: Solve for x
    x = 18,635,843,741.81/157,412.72
  6. Step 6: Final answer
    x = 118,388.42

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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.