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Finding the Fourth Proportional to 109,884.60, 164,826.90 and 72,486.90

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Solution

The fourth proportional to 109,884.60, 164,826.90 and 72,486.90 is: 108,730.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,884.60 : 164,826.90 = 72,486.90 : x
  2. Step 2: Convert to fraction form
    109,884.60/164,826.90 = 72,486.90/x
  3. Step 3: Cross multiply
    109,884.60x = 164,826.90 × 72,486.90
  4. Step 4: Simplify right side
    109,884.60x = 11,947,791,017.61
  5. Step 5: Solve for x
    x = 11,947,791,017.61/109,884.60
  6. Step 6: Final answer
    x = 108,730.35

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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.