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Finding the Fourth Proportional to 212,854.88, 319,066.74 and 138,022.50

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Solution

The fourth proportional to 212,854.88, 319,066.74 and 138,022.50 is: 206,893.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,854.88 : 319,066.74 = 138,022.50 : x
  2. Step 2: Convert to fraction form
    212,854.88/319,066.74 = 138,022.50/x
  3. Step 3: Cross multiply
    212,854.88x = 319,066.74 × 138,022.50
  4. Step 4: Simplify right side
    212,854.88x = 44,038,389,121.65
  5. Step 5: Solve for x
    x = 44,038,389,121.65/212,854.88
  6. Step 6: Final answer
    x = 206,893.96

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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.