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Finding the Fourth Proportional to 158,765.86, 238,146.09 and 74,506.42

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Solution

The fourth proportional to 158,765.86, 238,146.09 and 74,506.42 is: 111,758.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,765.86 : 238,146.09 = 74,506.42 : x
  2. Step 2: Convert to fraction form
    158,765.86/238,146.09 = 74,506.42/x
  3. Step 3: Cross multiply
    158,765.86x = 238,146.09 × 74,506.42
  4. Step 4: Simplify right side
    158,765.86x = 17,743,412,602.90
  5. Step 5: Solve for x
    x = 17,743,412,602.90/158,765.86
  6. Step 6: Final answer
    x = 111,758.36

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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.