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Finding the Fourth Proportional to 200,053.20, 300,079.80 and 121,321.20

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Solution

The fourth proportional to 200,053.20, 300,079.80 and 121,321.20 is: 181,981.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,053.20 : 300,079.80 = 121,321.20 : x
  2. Step 2: Convert to fraction form
    200,053.20/300,079.80 = 121,321.20/x
  3. Step 3: Cross multiply
    200,053.20x = 300,079.80 × 121,321.20
  4. Step 4: Simplify right side
    200,053.20x = 36,406,041,431.76
  5. Step 5: Solve for x
    x = 36,406,041,431.76/200,053.20
  6. Step 6: Final answer
    x = 181,981.80

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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.