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Finding the Fourth Proportional to 100,139.76, 150,209.24 and 40,975.40

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Solution

The fourth proportional to 100,139.76, 150,209.24 and 40,975.40 is: 61,462.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,139.76 : 150,209.24 = 40,975.40 : x
  2. Step 2: Convert to fraction form
    100,139.76/150,209.24 = 40,975.40/x
  3. Step 3: Cross multiply
    100,139.76x = 150,209.24 × 40,975.40
  4. Step 4: Simplify right side
    100,139.76x = 6,154,883,863.34
  5. Step 5: Solve for x
    x = 6,154,883,863.34/100,139.76
  6. Step 6: Final answer
    x = 61,462.94

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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.