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Finding the Fourth Proportional to 102,862.80, 154,359.72 and 68,745.60

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Solution

The fourth proportional to 102,862.80, 154,359.72 and 68,745.60 is: 103,162.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,862.80 : 154,359.72 = 68,745.60 : x
  2. Step 2: Convert to fraction form
    102,862.80/154,359.72 = 68,745.60/x
  3. Step 3: Cross multiply
    102,862.80x = 154,359.72 × 68,745.60
  4. Step 4: Simplify right side
    102,862.80x = 10,611,551,567.23
  5. Step 5: Solve for x
    x = 10,611,551,567.23/102,862.80
  6. Step 6: Final answer
    x = 103,162.19

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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.