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Finding the Fourth Proportional to 157,407.59, 217,225.16 and 85,791.54

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Solution

The fourth proportional to 157,407.59, 217,225.16 and 85,791.54 is: 118,393.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,407.59 : 217,225.16 = 85,791.54 : x
  2. Step 2: Convert to fraction form
    157,407.59/217,225.16 = 85,791.54/x
  3. Step 3: Cross multiply
    157,407.59x = 217,225.16 × 85,791.54
  4. Step 4: Simplify right side
    157,407.59x = 18,636,081,003.15
  5. Step 5: Solve for x
    x = 18,636,081,003.15/157,407.59
  6. Step 6: Final answer
    x = 118,393.79

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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.