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Finding the Fourth Proportional to 71,378.92, 98,509.86 and 41,569

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Solution

The fourth proportional to 71,378.92, 98,509.86 and 41,569 is: 57,369.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,378.92 : 98,509.86 = 41,569 : x
  2. Step 2: Convert to fraction form
    71,378.92/98,509.86 = 41,569/x
  3. Step 3: Cross multiply
    71,378.92x = 98,509.86 × 41,569
  4. Step 4: Simplify right side
    71,378.92x = 4,094,956,370.34
  5. Step 5: Solve for x
    x = 4,094,956,370.34/71,378.92
  6. Step 6: Final answer
    x = 57,369.27

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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.