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Finding the Fourth Proportional to 100,353.60, 150,501.62 and 40,382

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Solution

The fourth proportional to 100,353.60, 150,501.62 and 40,382 is: 60,561.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,353.60 : 150,501.62 = 40,382 : x
  2. Step 2: Convert to fraction form
    100,353.60/150,501.62 = 40,382/x
  3. Step 3: Cross multiply
    100,353.60x = 150,501.62 × 40,382
  4. Step 4: Simplify right side
    100,353.60x = 6,077,556,418.84
  5. Step 5: Solve for x
    x = 6,077,556,418.84/100,353.60
  6. Step 6: Final answer
    x = 60,561.42

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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.