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Finding the Fourth Proportional to 90,653.76, 135,783.36 and 43,808

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Solution

The fourth proportional to 90,653.76, 135,783.36 and 43,808 is: 65,616.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,653.76 : 135,783.36 = 43,808 : x
  2. Step 2: Convert to fraction form
    90,653.76/135,783.36 = 43,808/x
  3. Step 3: Cross multiply
    90,653.76x = 135,783.36 × 43,808
  4. Step 4: Simplify right side
    90,653.76x = 5,948,397,434.88
  5. Step 5: Solve for x
    x = 5,948,397,434.88/90,653.76
  6. Step 6: Final answer
    x = 65,616.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.