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Finding the Fourth Proportional to 157,291.27, 217,064.41 and 85,671.27

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Solution

The fourth proportional to 157,291.27, 217,064.41 and 85,671.27 is: 118,227.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,291.27 : 217,064.41 = 85,671.27 : x
  2. Step 2: Convert to fraction form
    157,291.27/217,064.41 = 85,671.27/x
  3. Step 3: Cross multiply
    157,291.27x = 217,064.41 × 85,671.27
  4. Step 4: Simplify right side
    157,291.27x = 18,596,183,462.32
  5. Step 5: Solve for x
    x = 18,596,183,462.32/157,291.27
  6. Step 6: Final answer
    x = 118,227.69

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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.