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Finding the Fourth Proportional to 157,902.22, 217,905.63 and 86,282.24

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Solution

The fourth proportional to 157,902.22, 217,905.63 and 86,282.24 is: 119,069.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,902.22 : 217,905.63 = 86,282.24 : x
  2. Step 2: Convert to fraction form
    157,902.22/217,905.63 = 86,282.24/x
  3. Step 3: Cross multiply
    157,902.22x = 217,905.63 × 86,282.24
  4. Step 4: Simplify right side
    157,902.22x = 18,801,385,757.16
  5. Step 5: Solve for x
    x = 18,801,385,757.16/157,902.22
  6. Step 6: Final answer
    x = 119,069.80

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1.5x scale

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.