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Finding the Fourth Proportional to 212,847.51, 319,055.67 and 138,015.12

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Solution

The fourth proportional to 212,847.51, 319,055.67 and 138,015.12 is: 206,882.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,847.51 : 319,055.67 = 138,015.12 : x
  2. Step 2: Convert to fraction form
    212,847.51/319,055.67 = 138,015.12/x
  3. Step 3: Cross multiply
    212,847.51x = 319,055.67 × 138,015.12
  4. Step 4: Simplify right side
    212,847.51x = 44,034,506,581.73
  5. Step 5: Solve for x
    x = 44,034,506,581.73/212,847.51
  6. Step 6: Final answer
    x = 206,882.88

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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.