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Finding the Fourth Proportional to 109,806.40, 164,709.60 and 72,416.80

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Solution

The fourth proportional to 109,806.40, 164,709.60 and 72,416.80 is: 108,625.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,806.40 : 164,709.60 = 72,416.80 : x
  2. Step 2: Convert to fraction form
    109,806.40/164,709.60 = 72,416.80/x
  3. Step 3: Cross multiply
    109,806.40x = 164,709.60 × 72,416.80
  4. Step 4: Simplify right side
    109,806.40x = 11,927,742,161.28
  5. Step 5: Solve for x
    x = 11,927,742,161.28/109,806.40
  6. Step 6: Final answer
    x = 108,625.20

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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.