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Finding the Fourth Proportional to 56,408.73, 77,843.97 and 30,916.68

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Solution

The fourth proportional to 56,408.73, 77,843.97 and 30,916.68 is: 42,664.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,408.73 : 77,843.97 = 30,916.68 : x
  2. Step 2: Convert to fraction form
    56,408.73/77,843.97 = 30,916.68/x
  3. Step 3: Cross multiply
    56,408.73x = 77,843.97 × 30,916.68
  4. Step 4: Simplify right side
    56,408.73x = 2,406,677,110.42
  5. Step 5: Solve for x
    x = 2,406,677,110.42/56,408.73
  6. Step 6: Final answer
    x = 42,664.98

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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.