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Finding the Fourth Proportional to 193,165.74, 289,692.45 and 74,810.70

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Solution

The fourth proportional to 193,165.74, 289,692.45 and 74,810.70 is: 112,194.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,165.74 : 289,692.45 = 74,810.70 : x
  2. Step 2: Convert to fraction form
    193,165.74/289,692.45 = 74,810.70/x
  3. Step 3: Cross multiply
    193,165.74x = 289,692.45 × 74,810.70
  4. Step 4: Simplify right side
    193,165.74x = 21,672,094,969.22
  5. Step 5: Solve for x
    x = 21,672,094,969.22/193,165.74
  6. Step 6: Final answer
    x = 112,194.30

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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.