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Finding the Fourth Proportional to 101,266.80, 151,921.80 and 31,153.20

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Solution

The fourth proportional to 101,266.80, 151,921.80 and 31,153.20 is: 46,736.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,266.80 : 151,921.80 = 31,153.20 : x
  2. Step 2: Convert to fraction form
    101,266.80/151,921.80 = 31,153.20/x
  3. Step 3: Cross multiply
    101,266.80x = 151,921.80 × 31,153.20
  4. Step 4: Simplify right side
    101,266.80x = 4,732,850,219.76
  5. Step 5: Solve for x
    x = 4,732,850,219.76/101,266.80
  6. Step 6: Final answer
    x = 46,736.44

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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.