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Finding the Fourth Proportional to 199,330, 275,075.40 and 109,911.76

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Solution

The fourth proportional to 199,330, 275,075.40 and 109,911.76 is: 151,678.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,330 : 275,075.40 = 109,911.76 : x
  2. Step 2: Convert to fraction form
    199,330/275,075.40 = 109,911.76/x
  3. Step 3: Cross multiply
    199,330x = 275,075.40 × 109,911.76
  4. Step 4: Simplify right side
    199,330x = 30,234,021,346.70
  5. Step 5: Solve for x
    x = 30,234,021,346.70/199,330
  6. Step 6: Final answer
    x = 151,678.23

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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.