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Finding the Fourth Proportional to 101,402.75, 139,930.28 and 56,078.09

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Solution

The fourth proportional to 101,402.75, 139,930.28 and 56,078.09 is: 77,384.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,402.75 : 139,930.28 = 56,078.09 : x
  2. Step 2: Convert to fraction form
    101,402.75/139,930.28 = 56,078.09/x
  3. Step 3: Cross multiply
    101,402.75x = 139,930.28 × 56,078.09
  4. Step 4: Simplify right side
    101,402.75x = 7,847,021,855.52
  5. Step 5: Solve for x
    x = 7,847,021,855.52/101,402.75
  6. Step 6: Final answer
    x = 77,384.71

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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.