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Finding the Fourth Proportional to 70,555.80, 105,842.34 and 31,122.84

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Solution

The fourth proportional to 70,555.80, 105,842.34 and 31,122.84 is: 46,688.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,555.80 : 105,842.34 = 31,122.84 : x
  2. Step 2: Convert to fraction form
    70,555.80/105,842.34 = 31,122.84/x
  3. Step 3: Cross multiply
    70,555.80x = 105,842.34 × 31,122.84
  4. Step 4: Simplify right side
    70,555.80x = 3,294,114,213.05
  5. Step 5: Solve for x
    x = 3,294,114,213.05/70,555.80
  6. Step 6: Final answer
    x = 46,688.07

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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.