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Finding the Fourth Proportional to 115,896.52, 174,111.23 and 81,780.80

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Solution

The fourth proportional to 115,896.52, 174,111.23 and 81,780.80 is: 122,859.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,896.52 : 174,111.23 = 81,780.80 : x
  2. Step 2: Convert to fraction form
    115,896.52/174,111.23 = 81,780.80/x
  3. Step 3: Cross multiply
    115,896.52x = 174,111.23 × 81,780.80
  4. Step 4: Simplify right side
    115,896.52x = 14,238,954,807.83
  5. Step 5: Solve for x
    x = 14,238,954,807.83/115,896.52
  6. Step 6: Final answer
    x = 122,859.21

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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.