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Finding the Fourth Proportional to 210,851.95, 316,278.21 and 86,192.95

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Solution

The fourth proportional to 210,851.95, 316,278.21 and 86,192.95 is: 129,289.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,851.95 : 316,278.21 = 86,192.95 : x
  2. Step 2: Convert to fraction form
    210,851.95/316,278.21 = 86,192.95/x
  3. Step 3: Cross multiply
    210,851.95x = 316,278.21 × 86,192.95
  4. Step 4: Simplify right side
    210,851.95x = 27,260,951,940.62
  5. Step 5: Solve for x
    x = 27,260,951,940.62/210,851.95
  6. Step 6: Final answer
    x = 129,289.54

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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.