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Finding the Fourth Proportional to 65,885.80, 90,921.72 and 35,670.32

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Solution

The fourth proportional to 65,885.80, 90,921.72 and 35,670.32 is: 49,224.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,885.80 : 90,921.72 = 35,670.32 : x
  2. Step 2: Convert to fraction form
    65,885.80/90,921.72 = 35,670.32/x
  3. Step 3: Cross multiply
    65,885.80x = 90,921.72 × 35,670.32
  4. Step 4: Simplify right side
    65,885.80x = 3,243,206,847.35
  5. Step 5: Solve for x
    x = 3,243,206,847.35/65,885.80
  6. Step 6: Final answer
    x = 49,224.67

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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.