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Finding the Fourth Proportional to 40,077, 55,308.82 and 22,413

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Solution

The fourth proportional to 40,077, 55,308.82 and 22,413 is: 30,931.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,077 : 55,308.82 = 22,413 : x
  2. Step 2: Convert to fraction form
    40,077/55,308.82 = 22,413/x
  3. Step 3: Cross multiply
    40,077x = 55,308.82 × 22,413
  4. Step 4: Simplify right side
    40,077x = 1,239,636,582.66
  5. Step 5: Solve for x
    x = 1,239,636,582.66/40,077
  6. Step 6: Final answer
    x = 30,931.37

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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.