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Finding the Fourth Proportional to 106,811.60, 160,217.40 and 102,729.20

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Solution

The fourth proportional to 106,811.60, 160,217.40 and 102,729.20 is: 154,093.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,811.60 : 160,217.40 = 102,729.20 : x
  2. Step 2: Convert to fraction form
    106,811.60/160,217.40 = 102,729.20/x
  3. Step 3: Cross multiply
    106,811.60x = 160,217.40 × 102,729.20
  4. Step 4: Simplify right side
    106,811.60x = 16,459,005,328.08
  5. Step 5: Solve for x
    x = 16,459,005,328.08/106,811.60
  6. Step 6: Final answer
    x = 154,093.80

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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.