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Finding the Fourth Proportional to 70,978.53, 106,467.84 and 39,835.65

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Solution

The fourth proportional to 70,978.53, 106,467.84 and 39,835.65 is: 59,753.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,978.53 : 106,467.84 = 39,835.65 : x
  2. Step 2: Convert to fraction form
    70,978.53/106,467.84 = 39,835.65/x
  3. Step 3: Cross multiply
    70,978.53x = 106,467.84 × 39,835.65
  4. Step 4: Simplify right side
    70,978.53x = 4,241,215,610.50
  5. Step 5: Solve for x
    x = 4,241,215,610.50/70,978.53
  6. Step 6: Final answer
    x = 59,753.50

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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.