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Finding the Fourth Proportional to 65,564, 90,478.80 and 35,756

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Solution

The fourth proportional to 65,564, 90,478.80 and 35,756 is: 49,343.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,564 : 90,478.80 = 35,756 : x
  2. Step 2: Convert to fraction form
    65,564/90,478.80 = 35,756/x
  3. Step 3: Cross multiply
    65,564x = 90,478.80 × 35,756
  4. Step 4: Simplify right side
    65,564x = 3,235,159,972.80
  5. Step 5: Solve for x
    x = 3,235,159,972.80/65,564
  6. Step 6: Final answer
    x = 49,343.54

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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.