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Finding the Fourth Proportional to 157,832, 217,806.87 and 86,212.04

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Solution

The fourth proportional to 157,832, 217,806.87 and 86,212.04 is: 118,971.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,832 : 217,806.87 = 86,212.04 : x
  2. Step 2: Convert to fraction form
    157,832/217,806.87 = 86,212.04/x
  3. Step 3: Cross multiply
    157,832x = 217,806.87 × 86,212.04
  4. Step 4: Simplify right side
    157,832x = 18,777,574,588.71
  5. Step 5: Solve for x
    x = 18,777,574,588.71/157,832
  6. Step 6: Final answer
    x = 118,971.91

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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.