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Finding the Fourth Proportional to 76,780.80, 105,953.22 and 42,324.42

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Solution

The fourth proportional to 76,780.80, 105,953.22 and 42,324.42 is: 58,405.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,780.80 : 105,953.22 = 42,324.42 : x
  2. Step 2: Convert to fraction form
    76,780.80/105,953.22 = 42,324.42/x
  3. Step 3: Cross multiply
    76,780.80x = 105,953.22 × 42,324.42
  4. Step 4: Simplify right side
    76,780.80x = 4,484,408,583.63
  5. Step 5: Solve for x
    x = 4,484,408,583.63/76,780.80
  6. Step 6: Final answer
    x = 58,405.34

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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.