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Finding the Fourth Proportional to 153,186, 229,791.96 and 42,378

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Solution

The fourth proportional to 153,186, 229,791.96 and 42,378 is: 63,570.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,186 : 229,791.96 = 42,378 : x
  2. Step 2: Convert to fraction form
    153,186/229,791.96 = 42,378/x
  3. Step 3: Cross multiply
    153,186x = 229,791.96 × 42,378
  4. Step 4: Simplify right side
    153,186x = 9,738,123,680.88
  5. Step 5: Solve for x
    x = 9,738,123,680.88/153,186
  6. Step 6: Final answer
    x = 63,570.59

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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.