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Finding the Fourth Proportional to 183,561.48, 275,371.02 and 78,381

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Solution

The fourth proportional to 183,561.48, 275,371.02 and 78,381 is: 117,583.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,561.48 : 275,371.02 = 78,381 : x
  2. Step 2: Convert to fraction form
    183,561.48/275,371.02 = 78,381/x
  3. Step 3: Cross multiply
    183,561.48x = 275,371.02 × 78,381
  4. Step 4: Simplify right side
    183,561.48x = 21,583,855,918.62
  5. Step 5: Solve for x
    x = 21,583,855,918.62/183,561.48
  6. Step 6: Final answer
    x = 117,583.80

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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.