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Finding the Fourth Proportional to 100,584.80, 150,974.40 and 50,721.20

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Solution

The fourth proportional to 100,584.80, 150,974.40 and 50,721.20 is: 76,130.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,584.80 : 150,974.40 = 50,721.20 : x
  2. Step 2: Convert to fraction form
    100,584.80/150,974.40 = 50,721.20/x
  3. Step 3: Cross multiply
    100,584.80x = 150,974.40 × 50,721.20
  4. Step 4: Simplify right side
    100,584.80x = 7,657,602,737.28
  5. Step 5: Solve for x
    x = 7,657,602,737.28/100,584.80
  6. Step 6: Final answer
    x = 76,130.81

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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.