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Finding the Fourth Proportional to 157,902.90, 217,903.36 and 86,281.27

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Solution

The fourth proportional to 157,902.90, 217,903.36 and 86,281.27 is: 119,066.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,902.90 : 217,903.36 = 86,281.27 : x
  2. Step 2: Convert to fraction form
    157,902.90/217,903.36 = 86,281.27/x
  3. Step 3: Cross multiply
    157,902.90x = 217,903.36 × 86,281.27
  4. Step 4: Simplify right side
    157,902.90x = 18,800,978,638.07
  5. Step 5: Solve for x
    x = 18,800,978,638.07/157,902.90
  6. Step 6: Final answer
    x = 119,066.71

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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.