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Finding the Fourth Proportional to 157,302.66, 217,081 and 85,682.52

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Solution

The fourth proportional to 157,302.66, 217,081 and 85,682.52 is: 118,243.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,302.66 : 217,081 = 85,682.52 : x
  2. Step 2: Convert to fraction form
    157,302.66/217,081 = 85,682.52/x
  3. Step 3: Cross multiply
    157,302.66x = 217,081 × 85,682.52
  4. Step 4: Simplify right side
    157,302.66x = 18,600,047,124.12
  5. Step 5: Solve for x
    x = 18,600,047,124.12/157,302.66
  6. Step 6: Final answer
    x = 118,243.69

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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.