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Finding the Fourth Proportional to 139,681.82, 192,764.96 and 76,023.66

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Solution

The fourth proportional to 139,681.82, 192,764.96 and 76,023.66 is: 104,914.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,681.82 : 192,764.96 = 76,023.66 : x
  2. Step 2: Convert to fraction form
    139,681.82/192,764.96 = 76,023.66/x
  3. Step 3: Cross multiply
    139,681.82x = 192,764.96 × 76,023.66
  4. Step 4: Simplify right side
    139,681.82x = 14,654,697,778.95
  5. Step 5: Solve for x
    x = 14,654,697,778.95/139,681.82
  6. Step 6: Final answer
    x = 104,914.85

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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.