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Finding the Fourth Proportional to 65,600, 90,528 and 35,792

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Solution

The fourth proportional to 65,600, 90,528 and 35,792 is: 49,392.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,600 : 90,528 = 35,792 : x
  2. Step 2: Convert to fraction form
    65,600/90,528 = 35,792/x
  3. Step 3: Cross multiply
    65,600x = 90,528 × 35,792
  4. Step 4: Simplify right side
    65,600x = 3,240,178,176
  5. Step 5: Solve for x
    x = 3,240,178,176/65,600
  6. Step 6: Final answer
    x = 49,392.96

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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.