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Finding the Fourth Proportional to 65,409.77, 90,266.43 and 36,735.64

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Solution

The fourth proportional to 65,409.77, 90,266.43 and 36,735.64 is: 50,695.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,409.77 : 90,266.43 = 36,735.64 : x
  2. Step 2: Convert to fraction form
    65,409.77/90,266.43 = 36,735.64/x
  3. Step 3: Cross multiply
    65,409.77x = 90,266.43 × 36,735.64
  4. Step 4: Simplify right side
    65,409.77x = 3,315,995,038.11
  5. Step 5: Solve for x
    x = 3,315,995,038.11/65,409.77
  6. Step 6: Final answer
    x = 50,695.71

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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.