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Finding the Fourth Proportional to 171,187.52, 256,813.44 and 77,699.84

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Solution

The fourth proportional to 171,187.52, 256,813.44 and 77,699.84 is: 116,564.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,187.52 : 256,813.44 = 77,699.84 : x
  2. Step 2: Convert to fraction form
    171,187.52/256,813.44 = 77,699.84/x
  3. Step 3: Cross multiply
    171,187.52x = 256,813.44 × 77,699.84
  4. Step 4: Simplify right side
    171,187.52x = 19,954,363,197.85
  5. Step 5: Solve for x
    x = 19,954,363,197.85/171,187.52
  6. Step 6: Final answer
    x = 116,564.36

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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.