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Finding the Fourth Proportional to 109,709.64, 164,493.48 and 72,156.02

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Solution

The fourth proportional to 109,709.64, 164,493.48 and 72,156.02 is: 108,187.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,709.64 : 164,493.48 = 72,156.02 : x
  2. Step 2: Convert to fraction form
    109,709.64/164,493.48 = 72,156.02/x
  3. Step 3: Cross multiply
    109,709.64x = 164,493.48 × 72,156.02
  4. Step 4: Simplify right side
    109,709.64x = 11,869,194,280.87
  5. Step 5: Solve for x
    x = 11,869,194,280.87/109,709.64
  6. Step 6: Final answer
    x = 108,187.34

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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.