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Finding the Fourth Proportional to 55,338, 76,366.71 and 30,187.50

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Solution

The fourth proportional to 55,338, 76,366.71 and 30,187.50 is: 41,658.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,338 : 76,366.71 = 30,187.50 : x
  2. Step 2: Convert to fraction form
    55,338/76,366.71 = 30,187.50/x
  3. Step 3: Cross multiply
    55,338x = 76,366.71 × 30,187.50
  4. Step 4: Simplify right side
    55,338x = 2,305,320,058.13
  5. Step 5: Solve for x
    x = 2,305,320,058.13/55,338
  6. Step 6: Final answer
    x = 41,658.90

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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.