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Finding the Fourth Proportional to 101,658.78, 140,299.02 and 56,351.52

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Solution

The fourth proportional to 101,658.78, 140,299.02 and 56,351.52 is: 77,770.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,658.78 : 140,299.02 = 56,351.52 : x
  2. Step 2: Convert to fraction form
    101,658.78/140,299.02 = 56,351.52/x
  3. Step 3: Cross multiply
    101,658.78x = 140,299.02 × 56,351.52
  4. Step 4: Simplify right side
    101,658.78x = 7,906,063,031.51
  5. Step 5: Solve for x
    x = 7,906,063,031.51/101,658.78
  6. Step 6: Final answer
    x = 77,770.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.