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Finding the Fourth Proportional to 251,977.38, 347,728.80 and 138,800.16

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Solution

The fourth proportional to 251,977.38, 347,728.80 and 138,800.16 is: 191,544.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,977.38 : 347,728.80 = 138,800.16 : x
  2. Step 2: Convert to fraction form
    251,977.38/347,728.80 = 138,800.16/x
  3. Step 3: Cross multiply
    251,977.38x = 347,728.80 × 138,800.16
  4. Step 4: Simplify right side
    251,977.38x = 48,264,813,076.61
  5. Step 5: Solve for x
    x = 48,264,813,076.61/251,977.38
  6. Step 6: Final answer
    x = 191,544.23

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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.