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Finding the Fourth Proportional to 71,674.56, 98,910 and 39,842.64

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Solution

The fourth proportional to 71,674.56, 98,910 and 39,842.64 is: 54,982.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,674.56 : 98,910 = 39,842.64 : x
  2. Step 2: Convert to fraction form
    71,674.56/98,910 = 39,842.64/x
  3. Step 3: Cross multiply
    71,674.56x = 98,910 × 39,842.64
  4. Step 4: Simplify right side
    71,674.56x = 3,940,835,522.40
  5. Step 5: Solve for x
    x = 3,940,835,522.40/71,674.56
  6. Step 6: Final answer
    x = 54,982.35

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1.5x scale

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.