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Finding the Fourth Proportional to 251,978.19, 347,729.91 and 138,800.94

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Solution

The fourth proportional to 251,978.19, 347,729.91 and 138,800.94 is: 191,545.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,978.19 : 347,729.91 = 138,800.94 : x
  2. Step 2: Convert to fraction form
    251,978.19/347,729.91 = 138,800.94/x
  3. Step 3: Cross multiply
    251,978.19x = 347,729.91 × 138,800.94
  4. Step 4: Simplify right side
    251,978.19x = 48,265,238,374.12
  5. Step 5: Solve for x
    x = 48,265,238,374.12/251,978.19
  6. Step 6: Final answer
    x = 191,545.30

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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.