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Finding the Fourth Proportional to 217,148.75, 299,658.03 and 120,348.48

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Solution

The fourth proportional to 217,148.75, 299,658.03 and 120,348.48 is: 166,076.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,148.75 : 299,658.03 = 120,348.48 : x
  2. Step 2: Convert to fraction form
    217,148.75/299,658.03 = 120,348.48/x
  3. Step 3: Cross multiply
    217,148.75x = 299,658.03 × 120,348.48
  4. Step 4: Simplify right side
    217,148.75x = 36,063,389,779.67
  5. Step 5: Solve for x
    x = 36,063,389,779.67/217,148.75
  6. Step 6: Final answer
    x = 166,076.89

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1.5x scale

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.