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Finding the Fourth Proportional to 76,411.83, 114,622.80 and 20,251.15

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Solution

The fourth proportional to 76,411.83, 114,622.80 and 20,251.15 is: 30,378.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,411.83 : 114,622.80 = 20,251.15 : x
  2. Step 2: Convert to fraction form
    76,411.83/114,622.80 = 20,251.15/x
  3. Step 3: Cross multiply
    76,411.83x = 114,622.80 × 20,251.15
  4. Step 4: Simplify right side
    76,411.83x = 2,321,243,516.22
  5. Step 5: Solve for x
    x = 2,321,243,516.22/76,411.83
  6. Step 6: Final answer
    x = 30,378.06

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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.