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Finding the Fourth Proportional to 76,630, 114,863.20 and 37,100.40

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Solution

The fourth proportional to 76,630, 114,863.20 and 37,100.40 is: 55,611.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,630 : 114,863.20 = 37,100.40 : x
  2. Step 2: Convert to fraction form
    76,630/114,863.20 = 37,100.40/x
  3. Step 3: Cross multiply
    76,630x = 114,863.20 × 37,100.40
  4. Step 4: Simplify right side
    76,630x = 4,261,470,665.28
  5. Step 5: Solve for x
    x = 4,261,470,665.28/76,630
  6. Step 6: Final answer
    x = 55,611.00

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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.