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Finding the Fourth Proportional to 212,803.01, 319,566.07 and 142,179.48

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Solution

The fourth proportional to 212,803.01, 319,566.07 and 142,179.48 is: 213,510.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,803.01 : 319,566.07 = 142,179.48 : x
  2. Step 2: Convert to fraction form
    212,803.01/319,566.07 = 142,179.48/x
  3. Step 3: Cross multiply
    212,803.01x = 319,566.07 × 142,179.48
  4. Step 4: Simplify right side
    212,803.01x = 45,435,737,658.24
  5. Step 5: Solve for x
    x = 45,435,737,658.24/212,803.01
  6. Step 6: Final answer
    x = 213,510.78

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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.