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Finding the Fourth Proportional to 251,566.80, 347,143.20 and 138,396.84

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Solution

The fourth proportional to 251,566.80, 347,143.20 and 138,396.84 is: 190,977.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,566.80 : 347,143.20 = 138,396.84 : x
  2. Step 2: Convert to fraction form
    251,566.80/347,143.20 = 138,396.84/x
  3. Step 3: Cross multiply
    251,566.80x = 347,143.20 × 138,396.84
  4. Step 4: Simplify right side
    251,566.80x = 48,043,521,907.49
  5. Step 5: Solve for x
    x = 48,043,521,907.49/251,566.80
  6. Step 6: Final answer
    x = 190,977.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.