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Finding the Fourth Proportional to 251,471.64, 347,023.94 and 138,294.40

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Solution

The fourth proportional to 251,471.64, 347,023.94 and 138,294.40 is: 190,842.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,471.64 : 347,023.94 = 138,294.40 : x
  2. Step 2: Convert to fraction form
    251,471.64/347,023.94 = 138,294.40/x
  3. Step 3: Cross multiply
    251,471.64x = 347,023.94 × 138,294.40
  4. Step 4: Simplify right side
    251,471.64x = 47,991,467,567.94
  5. Step 5: Solve for x
    x = 47,991,467,567.94/251,471.64
  6. Step 6: Final answer
    x = 190,842.46

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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.