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Finding the Fourth Proportional to 49,564, 68,406.96 and 28,344.16

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Solution

The fourth proportional to 49,564, 68,406.96 and 28,344.16 is: 39,119.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,564 : 68,406.96 = 28,344.16 : x
  2. Step 2: Convert to fraction form
    49,564/68,406.96 = 28,344.16/x
  3. Step 3: Cross multiply
    49,564x = 68,406.96 × 28,344.16
  4. Step 4: Simplify right side
    49,564x = 1,938,937,819.35
  5. Step 5: Solve for x
    x = 1,938,937,819.35/49,564
  6. Step 6: Final answer
    x = 39,119.88

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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.