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Finding the Fourth Proportional to 157,906.26, 217,913.49 and 86,289.30

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Solution

The fourth proportional to 157,906.26, 217,913.49 and 86,289.30 is: 119,080.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,906.26 : 217,913.49 = 86,289.30 : x
  2. Step 2: Convert to fraction form
    157,906.26/217,913.49 = 86,289.30/x
  3. Step 3: Cross multiply
    157,906.26x = 217,913.49 × 86,289.30
  4. Step 4: Simplify right side
    157,906.26x = 18,803,602,512.66
  5. Step 5: Solve for x
    x = 18,803,602,512.66/157,906.26
  6. Step 6: Final answer
    x = 119,080.79

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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.