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Finding the Fourth Proportional to 251,854.74, 347,559.21 and 138,676.50

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Solution

The fourth proportional to 251,854.74, 347,559.21 and 138,676.50 is: 191,373.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,854.74 : 347,559.21 = 138,676.50 : x
  2. Step 2: Convert to fraction form
    251,854.74/347,559.21 = 138,676.50/x
  3. Step 3: Cross multiply
    251,854.74x = 347,559.21 × 138,676.50
  4. Step 4: Simplify right side
    251,854.74x = 48,198,294,785.57
  5. Step 5: Solve for x
    x = 48,198,294,785.57/251,854.74
  6. Step 6: Final answer
    x = 191,373.39

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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.