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Finding the Fourth Proportional to 85,164.76, 127,731.84 and 22,820.68

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Solution

The fourth proportional to 85,164.76, 127,731.84 and 22,820.68 is: 34,226.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,164.76 : 127,731.84 = 22,820.68 : x
  2. Step 2: Convert to fraction form
    85,164.76/127,731.84 = 22,820.68/x
  3. Step 3: Cross multiply
    85,164.76x = 127,731.84 × 22,820.68
  4. Step 4: Simplify right side
    85,164.76x = 2,914,927,446.45
  5. Step 5: Solve for x
    x = 2,914,927,446.45/85,164.76
  6. Step 6: Final answer
    x = 34,226.92

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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.