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Finding the Fourth Proportional to 140,553.42, 210,858.30 and 51,807.30

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Solution

The fourth proportional to 140,553.42, 210,858.30 and 51,807.30 is: 77,721.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,553.42 : 210,858.30 = 51,807.30 : x
  2. Step 2: Convert to fraction form
    140,553.42/210,858.30 = 51,807.30/x
  3. Step 3: Cross multiply
    140,553.42x = 210,858.30 × 51,807.30
  4. Step 4: Simplify right side
    140,553.42x = 10,923,999,205.59
  5. Step 5: Solve for x
    x = 10,923,999,205.59/140,553.42
  6. Step 6: Final answer
    x = 77,721.33

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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.