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Finding the Fourth Proportional to 101,709.11, 140,366.86 and 56,401.30

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Solution

The fourth proportional to 101,709.11, 140,366.86 and 56,401.30 is: 77,838.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,709.11 : 140,366.86 = 56,401.30 : x
  2. Step 2: Convert to fraction form
    101,709.11/140,366.86 = 56,401.30/x
  3. Step 3: Cross multiply
    101,709.11x = 140,366.86 × 56,401.30
  4. Step 4: Simplify right side
    101,709.11x = 7,916,873,380.92
  5. Step 5: Solve for x
    x = 7,916,873,380.92/101,709.11
  6. Step 6: Final answer
    x = 77,838.39

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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.