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Finding the Fourth Proportional to 159,057.76, 219,487.16 and 91,058.46

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Solution

The fourth proportional to 159,057.76, 219,487.16 and 91,058.46 is: 125,653.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,057.76 : 219,487.16 = 91,058.46 : x
  2. Step 2: Convert to fraction form
    159,057.76/219,487.16 = 91,058.46/x
  3. Step 3: Cross multiply
    159,057.76x = 219,487.16 × 91,058.46
  4. Step 4: Simplify right side
    159,057.76x = 19,986,163,007.02
  5. Step 5: Solve for x
    x = 19,986,163,007.02/159,057.76
  6. Step 6: Final answer
    x = 125,653.49

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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.