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Finding the Fourth Proportional to 55,138.80, 76,092.84 and 29,988.48

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Solution

The fourth proportional to 55,138.80, 76,092.84 and 29,988.48 is: 41,384.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,138.80 : 76,092.84 = 29,988.48 : x
  2. Step 2: Convert to fraction form
    55,138.80/76,092.84 = 29,988.48/x
  3. Step 3: Cross multiply
    55,138.80x = 76,092.84 × 29,988.48
  4. Step 4: Simplify right side
    55,138.80x = 2,281,908,610.48
  5. Step 5: Solve for x
    x = 2,281,908,610.48/55,138.80
  6. Step 6: Final answer
    x = 41,384.81

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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.