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Finding the Fourth Proportional to 200,673.94, 277,117.50 and 129,178.22

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Solution

The fourth proportional to 200,673.94, 277,117.50 and 129,178.22 is: 178,386.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,673.94 : 277,117.50 = 129,178.22 : x
  2. Step 2: Convert to fraction form
    200,673.94/277,117.50 = 129,178.22/x
  3. Step 3: Cross multiply
    200,673.94x = 277,117.50 × 129,178.22
  4. Step 4: Simplify right side
    200,673.94x = 35,797,545,380.85
  5. Step 5: Solve for x
    x = 35,797,545,380.85/200,673.94
  6. Step 6: Final answer
    x = 178,386.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.