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Finding the Fourth Proportional to 65,356, 90,191.36 and 35,548

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Solution

The fourth proportional to 65,356, 90,191.36 and 35,548 is: 49,056.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,356 : 90,191.36 = 35,548 : x
  2. Step 2: Convert to fraction form
    65,356/90,191.36 = 35,548/x
  3. Step 3: Cross multiply
    65,356x = 90,191.36 × 35,548
  4. Step 4: Simplify right side
    65,356x = 3,206,122,465.28
  5. Step 5: Solve for x
    x = 3,206,122,465.28/65,356
  6. Step 6: Final answer
    x = 49,056.28

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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.