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Finding the Fourth Proportional to 103,315.20, 154,681.20 and 100,399.20

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Solution

The fourth proportional to 103,315.20, 154,681.20 and 100,399.20 is: 150,315.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,315.20 : 154,681.20 = 100,399.20 : x
  2. Step 2: Convert to fraction form
    103,315.20/154,681.20 = 100,399.20/x
  3. Step 3: Cross multiply
    103,315.20x = 154,681.20 × 100,399.20
  4. Step 4: Simplify right side
    103,315.20x = 15,529,868,735.04
  5. Step 5: Solve for x
    x = 15,529,868,735.04/103,315.20
  6. Step 6: Final answer
    x = 150,315.43

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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.