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Finding the Fourth Proportional to 212,857, 319,285.64 and 65,113

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Solution

The fourth proportional to 212,857, 319,285.64 and 65,113 is: 97,669.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,857 : 319,285.64 = 65,113 : x
  2. Step 2: Convert to fraction form
    212,857/319,285.64 = 65,113/x
  3. Step 3: Cross multiply
    212,857x = 319,285.64 × 65,113
  4. Step 4: Simplify right side
    212,857x = 20,789,645,877.32
  5. Step 5: Solve for x
    x = 20,789,645,877.32/212,857
  6. Step 6: Final answer
    x = 97,669.54

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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.