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Finding the Fourth Proportional to 65,416, 90,274.08 and 35,608

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Solution

The fourth proportional to 65,416, 90,274.08 and 35,608 is: 49,139.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,416 : 90,274.08 = 35,608 : x
  2. Step 2: Convert to fraction form
    65,416/90,274.08 = 35,608/x
  3. Step 3: Cross multiply
    65,416x = 90,274.08 × 35,608
  4. Step 4: Simplify right side
    65,416x = 3,214,479,440.64
  5. Step 5: Solve for x
    x = 3,214,479,440.64/65,416
  6. Step 6: Final answer
    x = 49,139.04

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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.