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Finding the Fourth Proportional to 70,867.95, 106,287.31 and 31,399.89

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Solution

The fourth proportional to 70,867.95, 106,287.31 and 31,399.89 is: 47,093.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,867.95 : 106,287.31 = 31,399.89 : x
  2. Step 2: Convert to fraction form
    70,867.95/106,287.31 = 31,399.89/x
  3. Step 3: Cross multiply
    70,867.95x = 106,287.31 × 31,399.89
  4. Step 4: Simplify right side
    70,867.95x = 3,337,409,842.40
  5. Step 5: Solve for x
    x = 3,337,409,842.40/70,867.95
  6. Step 6: Final answer
    x = 47,093.36

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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.