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Finding the Fourth Proportional to 68,417.64, 102,658.86 and 47,390.04

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Solution

The fourth proportional to 68,417.64, 102,658.86 and 47,390.04 is: 71,107.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,417.64 : 102,658.86 = 47,390.04 : x
  2. Step 2: Convert to fraction form
    68,417.64/102,658.86 = 47,390.04/x
  3. Step 3: Cross multiply
    68,417.64x = 102,658.86 × 47,390.04
  4. Step 4: Simplify right side
    68,417.64x = 4,865,007,481.75
  5. Step 5: Solve for x
    x = 4,865,007,481.75/68,417.64
  6. Step 6: Final answer
    x = 71,107.50

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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.