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Finding the Fourth Proportional to 65,223, 90,007.74 and 35,415

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Solution

The fourth proportional to 65,223, 90,007.74 and 35,415 is: 48,872.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,223 : 90,007.74 = 35,415 : x
  2. Step 2: Convert to fraction form
    65,223/90,007.74 = 35,415/x
  3. Step 3: Cross multiply
    65,223x = 90,007.74 × 35,415
  4. Step 4: Simplify right side
    65,223x = 3,187,624,112.10
  5. Step 5: Solve for x
    x = 3,187,624,112.10/65,223
  6. Step 6: Final answer
    x = 48,872.70

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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.