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Finding the Fourth Proportional to 188,806.76, 283,210.88 and 76,489.10

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Solution

The fourth proportional to 188,806.76, 283,210.88 and 76,489.10 is: 114,733.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,806.76 : 283,210.88 = 76,489.10 : x
  2. Step 2: Convert to fraction form
    188,806.76/283,210.88 = 76,489.10/x
  3. Step 3: Cross multiply
    188,806.76x = 283,210.88 × 76,489.10
  4. Step 4: Simplify right side
    188,806.76x = 21,662,543,522.91
  5. Step 5: Solve for x
    x = 21,662,543,522.91/188,806.76
  6. Step 6: Final answer
    x = 114,733.94

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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.