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Finding the Fourth Proportional to 76,649.57, 114,899.66 and 36,658.14

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Solution

The fourth proportional to 76,649.57, 114,899.66 and 36,658.14 is: 54,951.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,649.57 : 114,899.66 = 36,658.14 : x
  2. Step 2: Convert to fraction form
    76,649.57/114,899.66 = 36,658.14/x
  3. Step 3: Cross multiply
    76,649.57x = 114,899.66 × 36,658.14
  4. Step 4: Simplify right side
    76,649.57x = 4,212,008,521.20
  5. Step 5: Solve for x
    x = 4,212,008,521.20/76,649.57
  6. Step 6: Final answer
    x = 54,951.50

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1.5x scale

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.