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Finding the Fourth Proportional to 155,272, 214,275.36 and 84,616

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Solution

The fourth proportional to 155,272, 214,275.36 and 84,616 is: 116,770.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,272 : 214,275.36 = 84,616 : x
  2. Step 2: Convert to fraction form
    155,272/214,275.36 = 84,616/x
  3. Step 3: Cross multiply
    155,272x = 214,275.36 × 84,616
  4. Step 4: Simplify right side
    155,272x = 18,131,123,861.76
  5. Step 5: Solve for x
    x = 18,131,123,861.76/155,272
  6. Step 6: Final answer
    x = 116,770.08

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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.