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Finding the Fourth Proportional to 55,275, 76,280.04 and 30,125.04

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Solution

The fourth proportional to 55,275, 76,280.04 and 30,125.04 is: 41,572.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,275 : 76,280.04 = 30,125.04 : x
  2. Step 2: Convert to fraction form
    55,275/76,280.04 = 30,125.04/x
  3. Step 3: Cross multiply
    55,275x = 76,280.04 × 30,125.04
  4. Step 4: Simplify right side
    55,275x = 2,297,939,256.20
  5. Step 5: Solve for x
    x = 2,297,939,256.20/55,275
  6. Step 6: Final answer
    x = 41,572.85

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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.