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Finding the Fourth Proportional to 76,656.78, 114,985.17 and 34,487.58

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Solution

The fourth proportional to 76,656.78, 114,985.17 and 34,487.58 is: 51,731.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,656.78 : 114,985.17 = 34,487.58 : x
  2. Step 2: Convert to fraction form
    76,656.78/114,985.17 = 34,487.58/x
  3. Step 3: Cross multiply
    76,656.78x = 114,985.17 × 34,487.58
  4. Step 4: Simplify right side
    76,656.78x = 3,965,560,249.19
  5. Step 5: Solve for x
    x = 3,965,560,249.19/76,656.78
  6. Step 6: Final answer
    x = 51,731.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.