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Finding the Fourth Proportional to 76,882.56, 106,020.32 and 51,388.98

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Solution

The fourth proportional to 76,882.56, 106,020.32 and 51,388.98 is: 70,864.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,882.56 : 106,020.32 = 51,388.98 : x
  2. Step 2: Convert to fraction form
    76,882.56/106,020.32 = 51,388.98/x
  3. Step 3: Cross multiply
    76,882.56x = 106,020.32 × 51,388.98
  4. Step 4: Simplify right side
    76,882.56x = 5,448,276,104.07
  5. Step 5: Solve for x
    x = 5,448,276,104.07/76,882.56
  6. Step 6: Final answer
    x = 70,864.92

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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.