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Finding the Fourth Proportional to 212,705.76, 319,039.20 and 64,961.76

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Solution

The fourth proportional to 212,705.76, 319,039.20 and 64,961.76 is: 97,436.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,705.76 : 319,039.20 = 64,961.76 : x
  2. Step 2: Convert to fraction form
    212,705.76/319,039.20 = 64,961.76/x
  3. Step 3: Cross multiply
    212,705.76x = 319,039.20 × 64,961.76
  4. Step 4: Simplify right side
    212,705.76x = 20,725,347,940.99
  5. Step 5: Solve for x
    x = 20,725,347,940.99/212,705.76
  6. Step 6: Final answer
    x = 97,436.70

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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.