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Finding the Fourth Proportional to 76,442.85, 114,664.28 and 20,282.85

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Solution

The fourth proportional to 76,442.85, 114,664.28 and 20,282.85 is: 30,424.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,442.85 : 114,664.28 = 20,282.85 : x
  2. Step 2: Convert to fraction form
    76,442.85/114,664.28 = 20,282.85/x
  3. Step 3: Cross multiply
    76,442.85x = 114,664.28 × 20,282.85
  4. Step 4: Simplify right side
    76,442.85x = 2,325,718,290.18
  5. Step 5: Solve for x
    x = 2,325,718,290.18/76,442.85
  6. Step 6: Final answer
    x = 30,424.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.