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Finding the Fourth Proportional to 65,477, 90,358.26 and 35,669

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Solution

The fourth proportional to 65,477, 90,358.26 and 35,669 is: 49,223.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,477 : 90,358.26 = 35,669 : x
  2. Step 2: Convert to fraction form
    65,477/90,358.26 = 35,669/x
  3. Step 3: Cross multiply
    65,477x = 90,358.26 × 35,669
  4. Step 4: Simplify right side
    65,477x = 3,222,988,775.94
  5. Step 5: Solve for x
    x = 3,222,988,775.94/65,477
  6. Step 6: Final answer
    x = 49,223.22

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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.