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Finding the Fourth Proportional to 217,206.88, 299,762.31 and 121,722.46

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Solution

The fourth proportional to 217,206.88, 299,762.31 and 121,722.46 is: 167,986.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,206.88 : 299,762.31 = 121,722.46 : x
  2. Step 2: Convert to fraction form
    217,206.88/299,762.31 = 121,722.46/x
  3. Step 3: Cross multiply
    217,206.88x = 299,762.31 × 121,722.46
  4. Step 4: Simplify right side
    217,206.88x = 36,487,805,788.48
  5. Step 5: Solve for x
    x = 36,487,805,788.48/217,206.88
  6. Step 6: Final answer
    x = 167,986.42

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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.