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Finding the Fourth Proportional to 70,890.48, 106,372.98 and 31,475.88

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Solution

The fourth proportional to 70,890.48, 106,372.98 and 31,475.88 is: 47,230.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,890.48 : 106,372.98 = 31,475.88 : x
  2. Step 2: Convert to fraction form
    70,890.48/106,372.98 = 31,475.88/x
  3. Step 3: Cross multiply
    70,890.48x = 106,372.98 × 31,475.88
  4. Step 4: Simplify right side
    70,890.48x = 3,348,183,153.72
  5. Step 5: Solve for x
    x = 3,348,183,153.72/70,890.48
  6. Step 6: Final answer
    x = 47,230.36

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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.