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Finding the Fourth Proportional to 155,202, 214,178.76 and 84,546

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Solution

The fourth proportional to 155,202, 214,178.76 and 84,546 is: 116,673.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,202 : 214,178.76 = 84,546 : x
  2. Step 2: Convert to fraction form
    155,202/214,178.76 = 84,546/x
  3. Step 3: Cross multiply
    155,202x = 214,178.76 × 84,546
  4. Step 4: Simplify right side
    155,202x = 18,107,957,442.96
  5. Step 5: Solve for x
    x = 18,107,957,442.96/155,202
  6. Step 6: Final answer
    x = 116,673.48

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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.