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Finding the Fourth Proportional to 217,205.34, 299,751.48 and 121,708.50

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Solution

The fourth proportional to 217,205.34, 299,751.48 and 121,708.50 is: 167,962.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,205.34 : 299,751.48 = 121,708.50 : x
  2. Step 2: Convert to fraction form
    217,205.34/299,751.48 = 121,708.50/x
  3. Step 3: Cross multiply
    217,205.34x = 299,751.48 × 121,708.50
  4. Step 4: Simplify right side
    217,205.34x = 36,482,303,003.58
  5. Step 5: Solve for x
    x = 36,482,303,003.58/217,205.34
  6. Step 6: Final answer
    x = 167,962.27

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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.