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Finding the Fourth Proportional to 140,524.52, 210,869.82 and 51,840.32

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Solution

The fourth proportional to 140,524.52, 210,869.82 and 51,840.32 is: 77,791.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,524.52 : 210,869.82 = 51,840.32 : x
  2. Step 2: Convert to fraction form
    140,524.52/210,869.82 = 51,840.32/x
  3. Step 3: Cross multiply
    140,524.52x = 210,869.82 × 51,840.32
  4. Step 4: Simplify right side
    140,524.52x = 10,931,557,892.79
  5. Step 5: Solve for x
    x = 10,931,557,892.79/140,524.52
  6. Step 6: Final answer
    x = 77,791.11

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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.