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Finding the Fourth Proportional to 100,282, 150,423 and 30,161.40

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Solution

The fourth proportional to 100,282, 150,423 and 30,161.40 is: 45,242.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,282 : 150,423 = 30,161.40 : x
  2. Step 2: Convert to fraction form
    100,282/150,423 = 30,161.40/x
  3. Step 3: Cross multiply
    100,282x = 150,423 × 30,161.40
  4. Step 4: Simplify right side
    100,282x = 4,536,968,272.20
  5. Step 5: Solve for x
    x = 4,536,968,272.20/100,282
  6. Step 6: Final answer
    x = 45,242.10

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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.