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Finding the Fourth Proportional to 109,920.40, 164,880.60 and 71,866.60

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Solution

The fourth proportional to 109,920.40, 164,880.60 and 71,866.60 is: 107,799.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,920.40 : 164,880.60 = 71,866.60 : x
  2. Step 2: Convert to fraction form
    109,920.40/164,880.60 = 71,866.60/x
  3. Step 3: Cross multiply
    109,920.40x = 164,880.60 × 71,866.60
  4. Step 4: Simplify right side
    109,920.40x = 11,849,408,127.96
  5. Step 5: Solve for x
    x = 11,849,408,127.96/109,920.40
  6. Step 6: Final answer
    x = 107,799.90

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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.