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Finding the Fourth Proportional to 212,846.48, 319,186.56 and 92,940

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Solution

The fourth proportional to 212,846.48, 319,186.56 and 92,940 is: 139,373.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,846.48 : 319,186.56 = 92,940 : x
  2. Step 2: Convert to fraction form
    212,846.48/319,186.56 = 92,940/x
  3. Step 3: Cross multiply
    212,846.48x = 319,186.56 × 92,940
  4. Step 4: Simplify right side
    212,846.48x = 29,665,198,886.40
  5. Step 5: Solve for x
    x = 29,665,198,886.40/212,846.48
  6. Step 6: Final answer
    x = 139,373.69

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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.