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Finding the Fourth Proportional to 199,810.20, 299,708.38 and 50,051.78

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Solution

The fourth proportional to 199,810.20, 299,708.38 and 50,051.78 is: 75,075.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,810.20 : 299,708.38 = 50,051.78 : x
  2. Step 2: Convert to fraction form
    199,810.20/299,708.38 = 50,051.78/x
  3. Step 3: Cross multiply
    199,810.20x = 299,708.38 × 50,051.78
  4. Step 4: Simplify right side
    199,810.20x = 15,000,937,899.92
  5. Step 5: Solve for x
    x = 15,000,937,899.92/199,810.20
  6. Step 6: Final answer
    x = 75,075.94

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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.