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Finding the Fourth Proportional to 153,840, 230,760 and 43,032

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Solution

The fourth proportional to 153,840, 230,760 and 43,032 is: 64,548

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,840 : 230,760 = 43,032 : x
  2. Step 2: Convert to fraction form
    153,840/230,760 = 43,032/x
  3. Step 3: Cross multiply
    153,840x = 230,760 × 43,032
  4. Step 4: Simplify right side
    153,840x = 9,930,064,320
  5. Step 5: Solve for x
    x = 9,930,064,320/153,840
  6. Step 6: Final answer
    x = 64,548

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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.