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Finding the Fourth Proportional to 157,411.08, 217,224.79 and 85,791.69

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Solution

The fourth proportional to 157,411.08, 217,224.79 and 85,791.69 is: 118,391.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,411.08 : 217,224.79 = 85,791.69 : x
  2. Step 2: Convert to fraction form
    157,411.08/217,224.79 = 85,791.69/x
  3. Step 3: Cross multiply
    157,411.08x = 217,224.79 × 85,791.69
  4. Step 4: Simplify right side
    157,411.08x = 18,636,081,629.52
  5. Step 5: Solve for x
    x = 18,636,081,629.52/157,411.08
  6. Step 6: Final answer
    x = 118,391.17

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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.