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Finding the Fourth Proportional to 109,754.64, 164,856.96 and 72,368.64

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Solution

The fourth proportional to 109,754.64, 164,856.96 and 72,368.64 is: 108,701.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,754.64 : 164,856.96 = 72,368.64 : x
  2. Step 2: Convert to fraction form
    109,754.64/164,856.96 = 72,368.64/x
  3. Step 3: Cross multiply
    109,754.64x = 164,856.96 × 72,368.64
  4. Step 4: Simplify right side
    109,754.64x = 11,930,473,989.73
  5. Step 5: Solve for x
    x = 11,930,473,989.73/109,754.64
  6. Step 6: Final answer
    x = 108,701.32

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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.