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Finding the Fourth Proportional to 157,876.53, 217,867.07 and 86,255.01

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Solution

The fourth proportional to 157,876.53, 217,867.07 and 86,255.01 is: 119,030.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,876.53 : 217,867.07 = 86,255.01 : x
  2. Step 2: Convert to fraction form
    157,876.53/217,867.07 = 86,255.01/x
  3. Step 3: Cross multiply
    157,876.53x = 217,867.07 × 86,255.01
  4. Step 4: Simplify right side
    157,876.53x = 18,792,125,870.25
  5. Step 5: Solve for x
    x = 18,792,125,870.25/157,876.53
  6. Step 6: Final answer
    x = 119,030.52

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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.