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Finding the Fourth Proportional to 212,978.70, 319,196.70 and 113,186.70

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Solution

The fourth proportional to 212,978.70, 319,196.70 and 113,186.70 is: 169,635.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,978.70 : 319,196.70 = 113,186.70 : x
  2. Step 2: Convert to fraction form
    212,978.70/319,196.70 = 113,186.70/x
  3. Step 3: Cross multiply
    212,978.70x = 319,196.70 × 113,186.70
  4. Step 4: Simplify right side
    212,978.70x = 36,128,821,123.89
  5. Step 5: Solve for x
    x = 36,128,821,123.89/212,978.70
  6. Step 6: Final answer
    x = 169,635.84

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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.