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Finding the Fourth Proportional to 210,820.64, 316,236.08 and 82,731.47

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Solution

The fourth proportional to 210,820.64, 316,236.08 and 82,731.47 is: 124,099.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,820.64 : 316,236.08 = 82,731.47 : x
  2. Step 2: Convert to fraction form
    210,820.64/316,236.08 = 82,731.47/x
  3. Step 3: Cross multiply
    210,820.64x = 316,236.08 × 82,731.47
  4. Step 4: Simplify right side
    210,820.64x = 26,162,673,770.60
  5. Step 5: Solve for x
    x = 26,162,673,770.60/210,820.64
  6. Step 6: Final answer
    x = 124,099.21

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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.