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Finding the Fourth Proportional to 55,978.82, 77,249.85 and 30,830.66

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Solution

The fourth proportional to 55,978.82, 77,249.85 and 30,830.66 is: 42,545.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,978.82 : 77,249.85 = 30,830.66 : x
  2. Step 2: Convert to fraction form
    55,978.82/77,249.85 = 30,830.66/x
  3. Step 3: Cross multiply
    55,978.82x = 77,249.85 × 30,830.66
  4. Step 4: Simplify right side
    55,978.82x = 2,381,663,860.40
  5. Step 5: Solve for x
    x = 2,381,663,860.40/55,978.82
  6. Step 6: Final answer
    x = 42,545.80

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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.