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Finding the Fourth Proportional to 71,047.21, 98,048.42 and 40,842.31

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Solution

The fourth proportional to 71,047.21, 98,048.42 and 40,842.31 is: 56,364.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,047.21 : 98,048.42 = 40,842.31 : x
  2. Step 2: Convert to fraction form
    71,047.21/98,048.42 = 40,842.31/x
  3. Step 3: Cross multiply
    71,047.21x = 98,048.42 × 40,842.31
  4. Step 4: Simplify right side
    71,047.21x = 4,004,523,964.65
  5. Step 5: Solve for x
    x = 4,004,523,964.65/71,047.21
  6. Step 6: Final answer
    x = 56,364.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.