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Finding the Fourth Proportional to 70,492.34, 105,766.21 and 31,021.79

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Solution

The fourth proportional to 70,492.34, 105,766.21 and 31,021.79 is: 46,544.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,492.34 : 105,766.21 = 31,021.79 : x
  2. Step 2: Convert to fraction form
    70,492.34/105,766.21 = 31,021.79/x
  3. Step 3: Cross multiply
    70,492.34x = 105,766.21 × 31,021.79
  4. Step 4: Simplify right side
    70,492.34x = 3,281,056,665.66
  5. Step 5: Solve for x
    x = 3,281,056,665.66/70,492.34
  6. Step 6: Final answer
    x = 46,544.87

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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.