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Finding the Fourth Proportional to 65,295, 90,107.16 and 35,487

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Solution

The fourth proportional to 65,295, 90,107.16 and 35,487 is: 48,972.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,295 : 90,107.16 = 35,487 : x
  2. Step 2: Convert to fraction form
    65,295/90,107.16 = 35,487/x
  3. Step 3: Cross multiply
    65,295x = 90,107.16 × 35,487
  4. Step 4: Simplify right side
    65,295x = 3,197,632,786.92
  5. Step 5: Solve for x
    x = 3,197,632,786.92/65,295
  6. Step 6: Final answer
    x = 48,972.09

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1.5x scale

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.