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Finding the Fourth Proportional to 100,105.56, 150,000.27 and 81,294.06

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Solution

The fourth proportional to 100,105.56, 150,000.27 and 81,294.06 is: 121,812.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,105.56 : 150,000.27 = 81,294.06 : x
  2. Step 2: Convert to fraction form
    100,105.56/150,000.27 = 81,294.06/x
  3. Step 3: Cross multiply
    100,105.56x = 150,000.27 × 81,294.06
  4. Step 4: Simplify right side
    100,105.56x = 12,194,130,949.40
  5. Step 5: Solve for x
    x = 12,194,130,949.40/100,105.56
  6. Step 6: Final answer
    x = 121,812.72

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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.