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Finding the Fourth Proportional to 256,159, 384,240.66 and 89,947

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Solution

The fourth proportional to 256,159, 384,240.66 and 89,947 is: 134,921.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,159 : 384,240.66 = 89,947 : x
  2. Step 2: Convert to fraction form
    256,159/384,240.66 = 89,947/x
  3. Step 3: Cross multiply
    256,159x = 384,240.66 × 89,947
  4. Step 4: Simplify right side
    256,159x = 34,561,294,645.02
  5. Step 5: Solve for x
    x = 34,561,294,645.02/256,159
  6. Step 6: Final answer
    x = 134,921.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.