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Finding the Fourth Proportional to 101,709.87, 140,367.90 and 56,402.04

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Solution

The fourth proportional to 101,709.87, 140,367.90 and 56,402.04 is: 77,839.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,709.87 : 140,367.90 = 56,402.04 : x
  2. Step 2: Convert to fraction form
    101,709.87/140,367.90 = 56,402.04/x
  3. Step 3: Cross multiply
    101,709.87x = 140,367.90 × 56,402.04
  4. Step 4: Simplify right side
    101,709.87x = 7,917,035,910.52
  5. Step 5: Solve for x
    x = 7,917,035,910.52/101,709.87
  6. Step 6: Final answer
    x = 77,839.41

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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.