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Finding the Fourth Proportional to 157,870.94, 217,865.03 and 86,255.39

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Solution

The fourth proportional to 157,870.94, 217,865.03 and 86,255.39 is: 119,034.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,870.94 : 217,865.03 = 86,255.39 : x
  2. Step 2: Convert to fraction form
    157,870.94/217,865.03 = 86,255.39/x
  3. Step 3: Cross multiply
    157,870.94x = 217,865.03 × 86,255.39
  4. Step 4: Simplify right side
    157,870.94x = 18,792,033,243.40
  5. Step 5: Solve for x
    x = 18,792,033,243.40/157,870.94
  6. Step 6: Final answer
    x = 119,034.15

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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.