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Finding the Fourth Proportional to 70,171.57, 105,264.44 and 22,784.68

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Solution

The fourth proportional to 70,171.57, 105,264.44 and 22,784.68 is: 34,179.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,171.57 : 105,264.44 = 22,784.68 : x
  2. Step 2: Convert to fraction form
    70,171.57/105,264.44 = 22,784.68/x
  3. Step 3: Cross multiply
    70,171.57x = 105,264.44 × 22,784.68
  4. Step 4: Simplify right side
    70,171.57x = 2,398,416,580.78
  5. Step 5: Solve for x
    x = 2,398,416,580.78/70,171.57
  6. Step 6: Final answer
    x = 34,179.32

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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.