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Finding the Fourth Proportional to 56,398.78, 77,830.32 and 33,738.73

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Solution

The fourth proportional to 56,398.78, 77,830.32 and 33,738.73 is: 46,559.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,398.78 : 77,830.32 = 33,738.73 : x
  2. Step 2: Convert to fraction form
    56,398.78/77,830.32 = 33,738.73/x
  3. Step 3: Cross multiply
    56,398.78x = 77,830.32 × 33,738.73
  4. Step 4: Simplify right side
    56,398.78x = 2,625,895,894.46
  5. Step 5: Solve for x
    x = 2,625,895,894.46/56,398.78
  6. Step 6: Final answer
    x = 46,559.44

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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.