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Finding the Fourth Proportional to 200,032.70, 300,049.05 and 121,106.30

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Solution

The fourth proportional to 200,032.70, 300,049.05 and 121,106.30 is: 181,659.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,032.70 : 300,049.05 = 121,106.30 : x
  2. Step 2: Convert to fraction form
    200,032.70/300,049.05 = 121,106.30/x
  3. Step 3: Cross multiply
    200,032.70x = 300,049.05 × 121,106.30
  4. Step 4: Simplify right side
    200,032.70x = 36,337,830,264.02
  5. Step 5: Solve for x
    x = 36,337,830,264.02/200,032.70
  6. Step 6: Final answer
    x = 181,659.45

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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.