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Finding the Fourth Proportional to 233,242.81, 321,871.46 and 129,876.28

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Solution

The fourth proportional to 233,242.81, 321,871.46 and 129,876.28 is: 179,227.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,242.81 : 321,871.46 = 129,876.28 : x
  2. Step 2: Convert to fraction form
    233,242.81/321,871.46 = 129,876.28/x
  3. Step 3: Cross multiply
    233,242.81x = 321,871.46 × 129,876.28
  4. Step 4: Simplify right side
    233,242.81x = 41,803,466,408.91
  5. Step 5: Solve for x
    x = 41,803,466,408.91/233,242.81
  6. Step 6: Final answer
    x = 179,227.25

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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.