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Finding the Fourth Proportional to 109,847.68, 164,784.48 and 82,320.64

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Solution

The fourth proportional to 109,847.68, 164,784.48 and 82,320.64 is: 123,490.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,847.68 : 164,784.48 = 82,320.64 : x
  2. Step 2: Convert to fraction form
    109,847.68/164,784.48 = 82,320.64/x
  3. Step 3: Cross multiply
    109,847.68x = 164,784.48 × 82,320.64
  4. Step 4: Simplify right side
    109,847.68x = 13,565,163,855.67
  5. Step 5: Solve for x
    x = 13,565,163,855.67/109,847.68
  6. Step 6: Final answer
    x = 123,490.67

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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.