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Finding the Fourth Proportional to 212,782.56, 319,099.20 and 116,700.48

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Solution

The fourth proportional to 212,782.56, 319,099.20 and 116,700.48 is: 175,009.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,782.56 : 319,099.20 = 116,700.48 : x
  2. Step 2: Convert to fraction form
    212,782.56/319,099.20 = 116,700.48/x
  3. Step 3: Cross multiply
    212,782.56x = 319,099.20 × 116,700.48
  4. Step 4: Simplify right side
    212,782.56x = 37,239,029,807.62
  5. Step 5: Solve for x
    x = 37,239,029,807.62/212,782.56
  6. Step 6: Final answer
    x = 175,009.78

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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.