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Finding the Fourth Proportional to 109,813.60, 164,720.40 and 72,415.90

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Solution

The fourth proportional to 109,813.60, 164,720.40 and 72,415.90 is: 108,623.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,813.60 : 164,720.40 = 72,415.90 : x
  2. Step 2: Convert to fraction form
    109,813.60/164,720.40 = 72,415.90/x
  3. Step 3: Cross multiply
    109,813.60x = 164,720.40 × 72,415.90
  4. Step 4: Simplify right side
    109,813.60x = 11,928,376,014.36
  5. Step 5: Solve for x
    x = 11,928,376,014.36/109,813.60
  6. Step 6: Final answer
    x = 108,623.85

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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.