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Finding the Fourth Proportional to 202,133.40, 302,872.05 and 127,119.30

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Solution

The fourth proportional to 202,133.40, 302,872.05 and 127,119.30 is: 190,472.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,133.40 : 302,872.05 = 127,119.30 : x
  2. Step 2: Convert to fraction form
    202,133.40/302,872.05 = 127,119.30/x
  3. Step 3: Cross multiply
    202,133.40x = 302,872.05 × 127,119.30
  4. Step 4: Simplify right side
    202,133.40x = 38,500,882,985.57
  5. Step 5: Solve for x
    x = 38,500,882,985.57/202,133.40
  6. Step 6: Final answer
    x = 190,472.64

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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.