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Finding the Fourth Proportional to 77,921, 107,530.98 and 42,593

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Solution

The fourth proportional to 77,921, 107,530.98 and 42,593 is: 58,778.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,921 : 107,530.98 = 42,593 : x
  2. Step 2: Convert to fraction form
    77,921/107,530.98 = 42,593/x
  3. Step 3: Cross multiply
    77,921x = 107,530.98 × 42,593
  4. Step 4: Simplify right side
    77,921x = 4,580,067,031.14
  5. Step 5: Solve for x
    x = 4,580,067,031.14/77,921
  6. Step 6: Final answer
    x = 58,778.34

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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.