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Finding the Fourth Proportional to 55,107.50, 76,048.38 and 29,957

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Solution

The fourth proportional to 55,107.50, 76,048.38 and 29,957 is: 41,340.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,107.50 : 76,048.38 = 29,957 : x
  2. Step 2: Convert to fraction form
    55,107.50/76,048.38 = 29,957/x
  3. Step 3: Cross multiply
    55,107.50x = 76,048.38 × 29,957
  4. Step 4: Simplify right side
    55,107.50x = 2,278,181,319.66
  5. Step 5: Solve for x
    x = 2,278,181,319.66/55,107.50
  6. Step 6: Final answer
    x = 41,340.68

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1.5x scale

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.