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Finding the Fourth Proportional to 76,656.70, 114,766.35 and 67,908.70

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Solution

The fourth proportional to 76,656.70, 114,766.35 and 67,908.70 is: 101,669.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,656.70 : 114,766.35 = 67,908.70 : x
  2. Step 2: Convert to fraction form
    76,656.70/114,766.35 = 67,908.70/x
  3. Step 3: Cross multiply
    76,656.70x = 114,766.35 × 67,908.70
  4. Step 4: Simplify right side
    76,656.70x = 7,793,633,632.25
  5. Step 5: Solve for x
    x = 7,793,633,632.25/76,656.70
  6. Step 6: Final answer
    x = 101,669.31

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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.