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Finding the Fourth Proportional to 51,105.60, 76,658.40 and 46,512.90

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Solution

The fourth proportional to 51,105.60, 76,658.40 and 46,512.90 is: 69,769.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,105.60 : 76,658.40 = 46,512.90 : x
  2. Step 2: Convert to fraction form
    51,105.60/76,658.40 = 46,512.90/x
  3. Step 3: Cross multiply
    51,105.60x = 76,658.40 × 46,512.90
  4. Step 4: Simplify right side
    51,105.60x = 3,565,604,493.36
  5. Step 5: Solve for x
    x = 3,565,604,493.36/51,105.60
  6. Step 6: Final answer
    x = 69,769.35

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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.