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Finding the Fourth Proportional to 70,166.16, 105,247.76 and 22,781.20

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Solution

The fourth proportional to 70,166.16, 105,247.76 and 22,781.20 is: 34,171.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,166.16 : 105,247.76 = 22,781.20 : x
  2. Step 2: Convert to fraction form
    70,166.16/105,247.76 = 22,781.20/x
  3. Step 3: Cross multiply
    70,166.16x = 105,247.76 × 22,781.20
  4. Step 4: Simplify right side
    70,166.16x = 2,397,670,270.11
  5. Step 5: Solve for x
    x = 2,397,670,270.11/70,166.16
  6. Step 6: Final answer
    x = 34,171.32

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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.