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Finding the Fourth Proportional to 251,825.25, 347,508.35 and 138,640.71

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Solution

The fourth proportional to 251,825.25, 347,508.35 and 138,640.71 is: 191,318.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,825.25 : 347,508.35 = 138,640.71 : x
  2. Step 2: Convert to fraction form
    251,825.25/347,508.35 = 138,640.71/x
  3. Step 3: Cross multiply
    251,825.25x = 347,508.35 × 138,640.71
  4. Step 4: Simplify right side
    251,825.25x = 48,178,804,374.93
  5. Step 5: Solve for x
    x = 48,178,804,374.93/251,825.25
  6. Step 6: Final answer
    x = 191,318.40

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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.