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Finding the Fourth Proportional to 212,871.84, 319,309.44 and 94,511.52

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Solution

The fourth proportional to 212,871.84, 319,309.44 and 94,511.52 is: 141,768.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,871.84 : 319,309.44 = 94,511.52 : x
  2. Step 2: Convert to fraction form
    212,871.84/319,309.44 = 94,511.52/x
  3. Step 3: Cross multiply
    212,871.84x = 319,309.44 × 94,511.52
  4. Step 4: Simplify right side
    212,871.84x = 30,178,420,524.75
  5. Step 5: Solve for x
    x = 30,178,420,524.75/212,871.84
  6. Step 6: Final answer
    x = 141,768.03

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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.