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Finding the Fourth Proportional to 153,905.42, 231,208.41 and 111,342.11

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Solution

The fourth proportional to 153,905.42, 231,208.41 and 111,342.11 is: 167,266.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,905.42 : 231,208.41 = 111,342.11 : x
  2. Step 2: Convert to fraction form
    153,905.42/231,208.41 = 111,342.11/x
  3. Step 3: Cross multiply
    153,905.42x = 231,208.41 × 111,342.11
  4. Step 4: Simplify right side
    153,905.42x = 25,743,232,219.15
  5. Step 5: Solve for x
    x = 25,743,232,219.15/153,905.42
  6. Step 6: Final answer
    x = 167,266.57

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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.