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Finding the Fourth Proportional to 212,862.51, 319,311.72 and 55,093.95

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Solution

The fourth proportional to 212,862.51, 319,311.72 and 55,093.95 is: 82,645.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,862.51 : 319,311.72 = 55,093.95 : x
  2. Step 2: Convert to fraction form
    212,862.51/319,311.72 = 55,093.95/x
  3. Step 3: Cross multiply
    212,862.51x = 319,311.72 × 55,093.95
  4. Step 4: Simplify right side
    212,862.51x = 17,592,143,936.09
  5. Step 5: Solve for x
    x = 17,592,143,936.09/212,862.51
  6. Step 6: Final answer
    x = 82,645.57

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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.