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Finding the Fourth Proportional to 210,761.80, 316,141.92 and 75,825.56

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Solution

The fourth proportional to 210,761.80, 316,141.92 and 75,825.56 is: 113,738.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,761.80 : 316,141.92 = 75,825.56 : x
  2. Step 2: Convert to fraction form
    210,761.80/316,141.92 = 75,825.56/x
  3. Step 3: Cross multiply
    210,761.80x = 316,141.92 × 75,825.56
  4. Step 4: Simplify right side
    210,761.80x = 23,971,638,913.83
  5. Step 5: Solve for x
    x = 23,971,638,913.83/210,761.80
  6. Step 6: Final answer
    x = 113,738.06

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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.