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Finding the Fourth Proportional to 212,758.29, 293,608.50 and 117,268.65

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Solution

The fourth proportional to 212,758.29, 293,608.50 and 117,268.65 is: 161,831.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,758.29 : 293,608.50 = 117,268.65 : x
  2. Step 2: Convert to fraction form
    212,758.29/293,608.50 = 117,268.65/x
  3. Step 3: Cross multiply
    212,758.29x = 293,608.50 × 117,268.65
  4. Step 4: Simplify right side
    212,758.29x = 34,431,072,423.53
  5. Step 5: Solve for x
    x = 34,431,072,423.53/212,758.29
  6. Step 6: Final answer
    x = 161,831.87

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