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Finding the Fourth Proportional to 251,978.18, 347,729.90 and 138,800.93

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Solution

The fourth proportional to 251,978.18, 347,729.90 and 138,800.93 is: 191,545.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,978.18 : 347,729.90 = 138,800.93 : x
  2. Step 2: Convert to fraction form
    251,978.18/347,729.90 = 138,800.93/x
  3. Step 3: Cross multiply
    251,978.18x = 347,729.90 × 138,800.93
  4. Step 4: Simplify right side
    251,978.18x = 48,265,231,076.15
  5. Step 5: Solve for x
    x = 48,265,231,076.15/251,978.18
  6. Step 6: Final answer
    x = 191,545.28

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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.