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Finding the Fourth Proportional to 55,279, 76,284.95 and 30,128.50

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Solution

The fourth proportional to 55,279, 76,284.95 and 30,128.50 is: 41,577.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,279 : 76,284.95 = 30,128.50 : x
  2. Step 2: Convert to fraction form
    55,279/76,284.95 = 30,128.50/x
  3. Step 3: Cross multiply
    55,279x = 76,284.95 × 30,128.50
  4. Step 4: Simplify right side
    55,279x = 2,298,351,116.08
  5. Step 5: Solve for x
    x = 2,298,351,116.08/55,279
  6. Step 6: Final answer
    x = 41,577.29

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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.