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Finding the Fourth Proportional to 100,047.20, 149,706.30 and 73,803.20

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Solution

The fourth proportional to 100,047.20, 149,706.30 and 73,803.20 is: 110,435.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,047.20 : 149,706.30 = 73,803.20 : x
  2. Step 2: Convert to fraction form
    100,047.20/149,706.30 = 73,803.20/x
  3. Step 3: Cross multiply
    100,047.20x = 149,706.30 × 73,803.20
  4. Step 4: Simplify right side
    100,047.20x = 11,048,804,000.16
  5. Step 5: Solve for x
    x = 11,048,804,000.16/100,047.20
  6. Step 6: Final answer
    x = 110,435.91

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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.