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Finding the Fourth Proportional to 157,465.25, 217,297.69 and 85,845.25

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Solution

The fourth proportional to 157,465.25, 217,297.69 and 85,845.25 is: 118,464.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,465.25 : 217,297.69 = 85,845.25 : x
  2. Step 2: Convert to fraction form
    157,465.25/217,297.69 = 85,845.25/x
  3. Step 3: Cross multiply
    157,465.25x = 217,297.69 × 85,845.25
  4. Step 4: Simplify right side
    157,465.25x = 18,653,974,579.48
  5. Step 5: Solve for x
    x = 18,653,974,579.48/157,465.25
  6. Step 6: Final answer
    x = 118,464.07

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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.