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Finding the Fourth Proportional to 200,178, 276,294.85 and 115,344.27

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Solution

The fourth proportional to 200,178, 276,294.85 and 115,344.27 is: 159,203.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,178 : 276,294.85 = 115,344.27 : x
  2. Step 2: Convert to fraction form
    200,178/276,294.85 = 115,344.27/x
  3. Step 3: Cross multiply
    200,178x = 276,294.85 × 115,344.27
  4. Step 4: Simplify right side
    200,178x = 31,869,027,489.65
  5. Step 5: Solve for x
    x = 31,869,027,489.65/200,178
  6. Step 6: Final answer
    x = 159,203.45

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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.