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Finding the Fourth Proportional to 100,278, 150,417 and 30,157.38

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Solution

The fourth proportional to 100,278, 150,417 and 30,157.38 is: 45,236.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,278 : 150,417 = 30,157.38 : x
  2. Step 2: Convert to fraction form
    100,278/150,417 = 30,157.38/x
  3. Step 3: Cross multiply
    100,278x = 150,417 × 30,157.38
  4. Step 4: Simplify right side
    100,278x = 4,536,182,627.46
  5. Step 5: Solve for x
    x = 4,536,182,627.46/100,278
  6. Step 6: Final answer
    x = 45,236.07

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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.