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Finding the Fourth Proportional to 157,254.44, 217,010.97 and 85,634.96

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Solution

The fourth proportional to 157,254.44, 217,010.97 and 85,634.96 is: 118,176.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,254.44 : 217,010.97 = 85,634.96 : x
  2. Step 2: Convert to fraction form
    157,254.44/217,010.97 = 85,634.96/x
  3. Step 3: Cross multiply
    157,254.44x = 217,010.97 × 85,634.96
  4. Step 4: Simplify right side
    157,254.44x = 18,583,724,650.46
  5. Step 5: Solve for x
    x = 18,583,724,650.46/157,254.44
  6. Step 6: Final answer
    x = 118,176.16

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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.