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Finding the Fourth Proportional to 183,978.28, 276,073.80 and 77,353.84

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Solution

The fourth proportional to 183,978.28, 276,073.80 and 77,353.84 is: 116,075.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,978.28 : 276,073.80 = 77,353.84 : x
  2. Step 2: Convert to fraction form
    183,978.28/276,073.80 = 77,353.84/x
  3. Step 3: Cross multiply
    183,978.28x = 276,073.80 × 77,353.84
  4. Step 4: Simplify right side
    183,978.28x = 21,355,368,553.39
  5. Step 5: Solve for x
    x = 21,355,368,553.39/183,978.28
  6. Step 6: Final answer
    x = 116,075.49

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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.