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Finding the Fourth Proportional to 233,283.66, 321,941.70 and 131,315.70

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Solution

The fourth proportional to 233,283.66, 321,941.70 and 131,315.70 is: 181,221.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,283.66 : 321,941.70 = 131,315.70 : x
  2. Step 2: Convert to fraction form
    233,283.66/321,941.70 = 131,315.70/x
  3. Step 3: Cross multiply
    233,283.66x = 321,941.70 × 131,315.70
  4. Step 4: Simplify right side
    233,283.66x = 42,275,999,694.69
  5. Step 5: Solve for x
    x = 42,275,999,694.69/233,283.66
  6. Step 6: Final answer
    x = 181,221.44

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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.