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Finding the Fourth Proportional to 157,405.97, 217,213.92 and 85,784.46

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Solution

The fourth proportional to 157,405.97, 217,213.92 and 85,784.46 is: 118,379.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,405.97 : 217,213.92 = 85,784.46 : x
  2. Step 2: Convert to fraction form
    157,405.97/217,213.92 = 85,784.46/x
  3. Step 3: Cross multiply
    157,405.97x = 217,213.92 × 85,784.46
  4. Step 4: Simplify right side
    157,405.97x = 18,633,578,831.68
  5. Step 5: Solve for x
    x = 18,633,578,831.68/157,405.97
  6. Step 6: Final answer
    x = 118,379.11

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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.