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Finding the Fourth Proportional to 157,604.69, 217,494.23 and 85,984.69

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Solution

The fourth proportional to 157,604.69, 217,494.23 and 85,984.69 is: 118,658.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,604.69 : 217,494.23 = 85,984.69 : x
  2. Step 2: Convert to fraction form
    157,604.69/217,494.23 = 85,984.69/x
  3. Step 3: Cross multiply
    157,604.69x = 217,494.23 × 85,984.69
  4. Step 4: Simplify right side
    157,604.69x = 18,701,172,425.94
  5. Step 5: Solve for x
    x = 18,701,172,425.94/157,604.69
  6. Step 6: Final answer
    x = 118,658.73

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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.