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Finding the Fourth Proportional to 251,689.50, 347,331.60 and 138,509.82

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Solution

The fourth proportional to 251,689.50, 347,331.60 and 138,509.82 is: 191,143.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,689.50 : 347,331.60 = 138,509.82 : x
  2. Step 2: Convert to fraction form
    251,689.50/347,331.60 = 138,509.82/x
  3. Step 3: Cross multiply
    251,689.50x = 347,331.60 × 138,509.82
  4. Step 4: Simplify right side
    251,689.50x = 48,108,837,396.31
  5. Step 5: Solve for x
    x = 48,108,837,396.31/251,689.50
  6. Step 6: Final answer
    x = 191,143.60

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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.