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Finding the Fourth Proportional to 100,436.49, 150,362.12 and 52,938.50

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Solution

The fourth proportional to 100,436.49, 150,362.12 and 52,938.50 is: 79,253.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,436.49 : 150,362.12 = 52,938.50 : x
  2. Step 2: Convert to fraction form
    100,436.49/150,362.12 = 52,938.50/x
  3. Step 3: Cross multiply
    100,436.49x = 150,362.12 × 52,938.50
  4. Step 4: Simplify right side
    100,436.49x = 7,959,944,470.16
  5. Step 5: Solve for x
    x = 7,959,944,470.16/100,436.49
  6. Step 6: Final answer
    x = 79,253.51

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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.