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Finding the Fourth Proportional to 157,880.90, 217,878.78 and 86,265.37

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Solution

The fourth proportional to 157,880.90, 217,878.78 and 86,265.37 is: 119,047.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,880.90 : 217,878.78 = 86,265.37 : x
  2. Step 2: Convert to fraction form
    157,880.90/217,878.78 = 86,265.37/x
  3. Step 3: Cross multiply
    157,880.90x = 217,878.78 × 86,265.37
  4. Step 4: Simplify right side
    157,880.90x = 18,795,393,571.85
  5. Step 5: Solve for x
    x = 18,795,393,571.85/157,880.90
  6. Step 6: Final answer
    x = 119,047.93

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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.