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Finding the Fourth Proportional to 55,767, 76,959 and 30,617.04

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Solution

The fourth proportional to 55,767, 76,959 and 30,617.04 is: 42,251.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,767 : 76,959 = 30,617.04 : x
  2. Step 2: Convert to fraction form
    55,767/76,959 = 30,617.04/x
  3. Step 3: Cross multiply
    55,767x = 76,959 × 30,617.04
  4. Step 4: Simplify right side
    55,767x = 2,356,256,781.36
  5. Step 5: Solve for x
    x = 2,356,256,781.36/55,767
  6. Step 6: Final answer
    x = 42,251.81

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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.