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Finding the Fourth Proportional to 115,611.52, 159,496.68 and 91,642

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Solution

The fourth proportional to 115,611.52, 159,496.68 and 91,642 is: 126,428.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,611.52 : 159,496.68 = 91,642 : x
  2. Step 2: Convert to fraction form
    115,611.52/159,496.68 = 91,642/x
  3. Step 3: Cross multiply
    115,611.52x = 159,496.68 × 91,642
  4. Step 4: Simplify right side
    115,611.52x = 14,616,594,748.56
  5. Step 5: Solve for x
    x = 14,616,594,748.56/115,611.52
  6. Step 6: Final answer
    x = 126,428.53

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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.