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Finding the Fourth Proportional to 155,175, 214,141.50 and 84,519

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Solution

The fourth proportional to 155,175, 214,141.50 and 84,519 is: 116,636.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,175 : 214,141.50 = 84,519 : x
  2. Step 2: Convert to fraction form
    155,175/214,141.50 = 84,519/x
  3. Step 3: Cross multiply
    155,175x = 214,141.50 × 84,519
  4. Step 4: Simplify right side
    155,175x = 18,099,025,438.50
  5. Step 5: Solve for x
    x = 18,099,025,438.50/155,175
  6. Step 6: Final answer
    x = 116,636.22

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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.