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Finding the Fourth Proportional to 212,717.44, 319,056.72 and 64,973.44

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Solution

The fourth proportional to 212,717.44, 319,056.72 and 64,973.44 is: 97,454.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,717.44 : 319,056.72 = 64,973.44 : x
  2. Step 2: Convert to fraction form
    212,717.44/319,056.72 = 64,973.44/x
  3. Step 3: Cross multiply
    212,717.44x = 319,056.72 × 64,973.44
  4. Step 4: Simplify right side
    212,717.44x = 20,730,212,653.52
  5. Step 5: Solve for x
    x = 20,730,212,653.52/212,717.44
  6. Step 6: Final answer
    x = 97,454.22

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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.