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Finding the Fourth Proportional to 217,137.65, 299,655.86 and 121,642.29

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Solution

The fourth proportional to 217,137.65, 299,655.86 and 121,642.29 is: 167,869.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,137.65 : 299,655.86 = 121,642.29 : x
  2. Step 2: Convert to fraction form
    217,137.65/299,655.86 = 121,642.29/x
  3. Step 3: Cross multiply
    217,137.65x = 299,655.86 × 121,642.29
  4. Step 4: Simplify right side
    217,137.65x = 36,450,824,414.11
  5. Step 5: Solve for x
    x = 36,450,824,414.11/217,137.65
  6. Step 6: Final answer
    x = 167,869.67

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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.