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Finding the Fourth Proportional to 76,920.32, 106,149.80 and 42,928.44

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Solution

The fourth proportional to 76,920.32, 106,149.80 and 42,928.44 is: 59,241.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,920.32 : 106,149.80 = 42,928.44 : x
  2. Step 2: Convert to fraction form
    76,920.32/106,149.80 = 42,928.44/x
  3. Step 3: Cross multiply
    76,920.32x = 106,149.80 × 42,928.44
  4. Step 4: Simplify right side
    76,920.32x = 4,556,845,105.67
  5. Step 5: Solve for x
    x = 4,556,845,105.67/76,920.32
  6. Step 6: Final answer
    x = 59,241.11

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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.