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Finding the Fourth Proportional to 155,167, 214,130.46 and 84,511

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Solution

The fourth proportional to 155,167, 214,130.46 and 84,511 is: 116,625.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,167 : 214,130.46 = 84,511 : x
  2. Step 2: Convert to fraction form
    155,167/214,130.46 = 84,511/x
  3. Step 3: Cross multiply
    155,167x = 214,130.46 × 84,511
  4. Step 4: Simplify right side
    155,167x = 18,096,379,305.06
  5. Step 5: Solve for x
    x = 18,096,379,305.06/155,167
  6. Step 6: Final answer
    x = 116,625.18

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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.