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Finding the Fourth Proportional to 207,300.75, 310,938.77 and 121,959.56

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Solution

The fourth proportional to 207,300.75, 310,938.77 and 121,959.56 is: 182,932.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,300.75 : 310,938.77 = 121,959.56 : x
  2. Step 2: Convert to fraction form
    207,300.75/310,938.77 = 121,959.56/x
  3. Step 3: Cross multiply
    207,300.75x = 310,938.77 × 121,959.56
  4. Step 4: Simplify right side
    207,300.75x = 37,921,953,411.65
  5. Step 5: Solve for x
    x = 37,921,953,411.65/207,300.75
  6. Step 6: Final answer
    x = 182,932.06

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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.