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Finding the Fourth Proportional to 157,216.21, 216,960.32 and 85,596.21

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Solution

The fourth proportional to 157,216.21, 216,960.32 and 85,596.21 is: 118,123.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,216.21 : 216,960.32 = 85,596.21 : x
  2. Step 2: Convert to fraction form
    157,216.21/216,960.32 = 85,596.21/x
  3. Step 3: Cross multiply
    157,216.21x = 216,960.32 × 85,596.21
  4. Step 4: Simplify right side
    157,216.21x = 18,570,981,326.38
  5. Step 5: Solve for x
    x = 18,570,981,326.38/157,216.21
  6. Step 6: Final answer
    x = 118,123.83

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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.