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Finding the Fourth Proportional to 157,288.48, 217,057 and 85,668.28

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Solution

The fourth proportional to 157,288.48, 217,057 and 85,668.28 is: 118,221.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,288.48 : 217,057 = 85,668.28 : x
  2. Step 2: Convert to fraction form
    157,288.48/217,057 = 85,668.28/x
  3. Step 3: Cross multiply
    157,288.48x = 217,057 × 85,668.28
  4. Step 4: Simplify right side
    157,288.48x = 18,594,899,851.96
  5. Step 5: Solve for x
    x = 18,594,899,851.96/157,288.48
  6. Step 6: Final answer
    x = 118,221.63

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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.