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Finding the Fourth Proportional to 78,462, 117,745.92 and 29,214

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Solution

The fourth proportional to 78,462, 117,745.92 and 29,214 is: 43,840.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,462 : 117,745.92 = 29,214 : x
  2. Step 2: Convert to fraction form
    78,462/117,745.92 = 29,214/x
  3. Step 3: Cross multiply
    78,462x = 117,745.92 × 29,214
  4. Step 4: Simplify right side
    78,462x = 3,439,829,306.88
  5. Step 5: Solve for x
    x = 3,439,829,306.88/78,462
  6. Step 6: Final answer
    x = 43,840.70

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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.