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Finding the Fourth Proportional to 70,709.88, 105,854.31 and 45,676.95

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Solution

The fourth proportional to 70,709.88, 105,854.31 and 45,676.95 is: 68,379.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,709.88 : 105,854.31 = 45,676.95 : x
  2. Step 2: Convert to fraction form
    70,709.88/105,854.31 = 45,676.95/x
  3. Step 3: Cross multiply
    70,709.88x = 105,854.31 × 45,676.95
  4. Step 4: Simplify right side
    70,709.88x = 4,835,102,025.15
  5. Step 5: Solve for x
    x = 4,835,102,025.15/70,709.88
  6. Step 6: Final answer
    x = 68,379.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.