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Finding the Fourth Proportional to 200,280.95, 300,213.77 and 125,228.81

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Solution

The fourth proportional to 200,280.95, 300,213.77 and 125,228.81 is: 187,713.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,280.95 : 300,213.77 = 125,228.81 : x
  2. Step 2: Convert to fraction form
    200,280.95/300,213.77 = 125,228.81/x
  3. Step 3: Cross multiply
    200,280.95x = 300,213.77 × 125,228.81
  4. Step 4: Simplify right side
    200,280.95x = 37,595,411,661.64
  5. Step 5: Solve for x
    x = 37,595,411,661.64/200,280.95
  6. Step 6: Final answer
    x = 187,713.37

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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.