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Finding the Fourth Proportional to 76,668.64, 105,767.76 and 55,414.24

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Solution

The fourth proportional to 76,668.64, 105,767.76 and 55,414.24 is: 76,446.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,668.64 : 105,767.76 = 55,414.24 : x
  2. Step 2: Convert to fraction form
    76,668.64/105,767.76 = 55,414.24/x
  3. Step 3: Cross multiply
    76,668.64x = 105,767.76 × 55,414.24
  4. Step 4: Simplify right side
    76,668.64x = 5,861,040,036.90
  5. Step 5: Solve for x
    x = 5,861,040,036.90/76,668.64
  6. Step 6: Final answer
    x = 76,446.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.