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Finding the Fourth Proportional to 101,709.61, 140,367.55 and 56,401.80

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Solution

The fourth proportional to 101,709.61, 140,367.55 and 56,401.80 is: 77,839.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,709.61 : 140,367.55 = 56,401.80 : x
  2. Step 2: Convert to fraction form
    101,709.61/140,367.55 = 56,401.80/x
  3. Step 3: Cross multiply
    101,709.61x = 140,367.55 × 56,401.80
  4. Step 4: Simplify right side
    101,709.61x = 7,916,982,481.59
  5. Step 5: Solve for x
    x = 7,916,982,481.59/101,709.61
  6. Step 6: Final answer
    x = 77,839.08

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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.