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Finding the Fourth Proportional to 100,254, 150,381 and 30,133.38

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Solution

The fourth proportional to 100,254, 150,381 and 30,133.38 is: 45,200.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,254 : 150,381 = 30,133.38 : x
  2. Step 2: Convert to fraction form
    100,254/150,381 = 30,133.38/x
  3. Step 3: Cross multiply
    100,254x = 150,381 × 30,133.38
  4. Step 4: Simplify right side
    100,254x = 4,531,487,817.78
  5. Step 5: Solve for x
    x = 4,531,487,817.78/100,254
  6. Step 6: Final answer
    x = 45,200.07

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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.