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Finding the Fourth Proportional to 183,218.98, 274,979.19 and 78,156.58

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Solution

The fourth proportional to 183,218.98, 274,979.19 and 78,156.58 is: 117,299.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,218.98 : 274,979.19 = 78,156.58 : x
  2. Step 2: Convert to fraction form
    183,218.98/274,979.19 = 78,156.58/x
  3. Step 3: Cross multiply
    183,218.98x = 274,979.19 × 78,156.58
  4. Step 4: Simplify right side
    183,218.98x = 21,491,433,061.57
  5. Step 5: Solve for x
    x = 21,491,433,061.57/183,218.98
  6. Step 6: Final answer
    x = 117,299.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.