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Finding the Fourth Proportional to 200,075.86, 299,780.61 and 140,786.97

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Solution

The fourth proportional to 200,075.86, 299,780.61 and 140,786.97 is: 210,946.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,075.86 : 299,780.61 = 140,786.97 : x
  2. Step 2: Convert to fraction form
    200,075.86/299,780.61 = 140,786.97/x
  3. Step 3: Cross multiply
    200,075.86x = 299,780.61 × 140,786.97
  4. Step 4: Simplify right side
    200,075.86x = 42,205,203,746.65
  5. Step 5: Solve for x
    x = 42,205,203,746.65/200,075.86
  6. Step 6: Final answer
    x = 210,946.01

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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.