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Finding the Fourth Proportional to 200,205.80, 300,065.70 and 115,803.80

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Solution

The fourth proportional to 200,205.80, 300,065.70 and 115,803.80 is: 173,565.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,205.80 : 300,065.70 = 115,803.80 : x
  2. Step 2: Convert to fraction form
    200,205.80/300,065.70 = 115,803.80/x
  3. Step 3: Cross multiply
    200,205.80x = 300,065.70 × 115,803.80
  4. Step 4: Simplify right side
    200,205.80x = 34,748,748,309.66
  5. Step 5: Solve for x
    x = 34,748,748,309.66/200,205.80
  6. Step 6: Final answer
    x = 173,565.14

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1.5x scale

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.