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Finding the Fourth Proportional to 157,856.76, 217,845.54 and 86,241.42

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Solution

The fourth proportional to 157,856.76, 217,845.54 and 86,241.42 is: 119,014.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,856.76 : 217,845.54 = 86,241.42 : x
  2. Step 2: Convert to fraction form
    157,856.76/217,845.54 = 86,241.42/x
  3. Step 3: Cross multiply
    157,856.76x = 217,845.54 × 86,241.42
  4. Step 4: Simplify right side
    157,856.76x = 18,787,308,710.27
  5. Step 5: Solve for x
    x = 18,787,308,710.27/157,856.76
  6. Step 6: Final answer
    x = 119,014.91

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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.