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Finding the Fourth Proportional to 157,418.24, 217,230.81 and 85,796.72

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Solution

The fourth proportional to 157,418.24, 217,230.81 and 85,796.72 is: 118,396.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,418.24 : 217,230.81 = 85,796.72 : x
  2. Step 2: Convert to fraction form
    157,418.24/217,230.81 = 85,796.72/x
  3. Step 3: Cross multiply
    157,418.24x = 217,230.81 × 85,796.72
  4. Step 4: Simplify right side
    157,418.24x = 18,637,690,980.94
  5. Step 5: Solve for x
    x = 18,637,690,980.94/157,418.24
  6. Step 6: Final answer
    x = 118,396.01

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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.