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Finding the Fourth Proportional to 157,588, 217,471.44 and 85,968.31

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Solution

The fourth proportional to 157,588, 217,471.44 and 85,968.31 is: 118,636.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,588 : 217,471.44 = 85,968.31 : x
  2. Step 2: Convert to fraction form
    157,588/217,471.44 = 85,968.31/x
  3. Step 3: Cross multiply
    157,588x = 217,471.44 × 85,968.31
  4. Step 4: Simplify right side
    157,588x = 18,695,652,170.07
  5. Step 5: Solve for x
    x = 18,695,652,170.07/157,588
  6. Step 6: Final answer
    x = 118,636.27

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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.