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Finding the Fourth Proportional to 100,335.29, 150,511.12 and 50,389.70

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Solution

The fourth proportional to 100,335.29, 150,511.12 and 50,389.70 is: 75,588.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,335.29 : 150,511.12 = 50,389.70 : x
  2. Step 2: Convert to fraction form
    100,335.29/150,511.12 = 50,389.70/x
  3. Step 3: Cross multiply
    100,335.29x = 150,511.12 × 50,389.70
  4. Step 4: Simplify right side
    100,335.29x = 7,584,209,304.93
  5. Step 5: Solve for x
    x = 7,584,209,304.93/100,335.29
  6. Step 6: Final answer
    x = 75,588.66

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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.