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Finding the Fourth Proportional to 73,106.40, 109,670.40 and 23,191.20

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Solution

The fourth proportional to 73,106.40, 109,670.40 and 23,191.20 is: 34,790.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,106.40 : 109,670.40 = 23,191.20 : x
  2. Step 2: Convert to fraction form
    73,106.40/109,670.40 = 23,191.20/x
  3. Step 3: Cross multiply
    73,106.40x = 109,670.40 × 23,191.20
  4. Step 4: Simplify right side
    73,106.40x = 2,543,388,180.48
  5. Step 5: Solve for x
    x = 2,543,388,180.48/73,106.40
  6. Step 6: Final answer
    x = 34,790.23

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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.