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Finding the Fourth Proportional to 153,938.20, 230,907.30 and 100,794.10

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Solution

The fourth proportional to 153,938.20, 230,907.30 and 100,794.10 is: 151,191.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,938.20 : 230,907.30 = 100,794.10 : x
  2. Step 2: Convert to fraction form
    153,938.20/230,907.30 = 100,794.10/x
  3. Step 3: Cross multiply
    153,938.20x = 230,907.30 × 100,794.10
  4. Step 4: Simplify right side
    153,938.20x = 23,274,093,486.93
  5. Step 5: Solve for x
    x = 23,274,093,486.93/153,938.20
  6. Step 6: Final answer
    x = 151,191.15

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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.