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Finding the Fourth Proportional to 157,735.16, 217,664.39 and 86,115.03

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Solution

The fourth proportional to 157,735.16, 217,664.39 and 86,115.03 is: 118,833.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,735.16 : 217,664.39 = 86,115.03 : x
  2. Step 2: Convert to fraction form
    157,735.16/217,664.39 = 86,115.03/x
  3. Step 3: Cross multiply
    157,735.16x = 217,664.39 × 86,115.03
  4. Step 4: Simplify right side
    157,735.16x = 18,744,175,259.49
  5. Step 5: Solve for x
    x = 18,744,175,259.49/157,735.16
  6. Step 6: Final answer
    x = 118,833.21

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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.