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Finding the Fourth Proportional to 212,920.58, 319,288.15 and 61,084.16

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Solution

The fourth proportional to 212,920.58, 319,288.15 and 61,084.16 is: 91,599.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,920.58 : 319,288.15 = 61,084.16 : x
  2. Step 2: Convert to fraction form
    212,920.58/319,288.15 = 61,084.16/x
  3. Step 3: Cross multiply
    212,920.58x = 319,288.15 × 61,084.16
  4. Step 4: Simplify right side
    212,920.58x = 19,503,446,844.26
  5. Step 5: Solve for x
    x = 19,503,446,844.26/212,920.58
  6. Step 6: Final answer
    x = 91,599.63

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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.