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Finding the Fourth Proportional to 55,781.10, 76,978.49 and 30,287.70

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Solution

The fourth proportional to 55,781.10, 76,978.49 and 30,287.70 is: 41,797.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,781.10 : 76,978.49 = 30,287.70 : x
  2. Step 2: Convert to fraction form
    55,781.10/76,978.49 = 30,287.70/x
  3. Step 3: Cross multiply
    55,781.10x = 76,978.49 × 30,287.70
  4. Step 4: Simplify right side
    55,781.10x = 2,331,501,411.57
  5. Step 5: Solve for x
    x = 2,331,501,411.57/55,781.10
  6. Step 6: Final answer
    x = 41,797.34

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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.