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Finding the Fourth Proportional to 157,843.80, 217,829.13 and 86,225.01

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Solution

The fourth proportional to 157,843.80, 217,829.13 and 86,225.01 is: 118,993.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,843.80 : 217,829.13 = 86,225.01 : x
  2. Step 2: Convert to fraction form
    157,843.80/217,829.13 = 86,225.01/x
  3. Step 3: Cross multiply
    157,843.80x = 217,829.13 × 86,225.01
  4. Step 4: Simplify right side
    157,843.80x = 18,782,318,912.54
  5. Step 5: Solve for x
    x = 18,782,318,912.54/157,843.80
  6. Step 6: Final answer
    x = 118,993.07

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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.