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Finding the Fourth Proportional to 102,912.10, 154,368.15 and 36,354.40

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Solution

The fourth proportional to 102,912.10, 154,368.15 and 36,354.40 is: 54,531.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,912.10 : 154,368.15 = 36,354.40 : x
  2. Step 2: Convert to fraction form
    102,912.10/154,368.15 = 36,354.40/x
  3. Step 3: Cross multiply
    102,912.10x = 154,368.15 × 36,354.40
  4. Step 4: Simplify right side
    102,912.10x = 5,611,961,472.36
  5. Step 5: Solve for x
    x = 5,611,961,472.36/102,912.10
  6. Step 6: Final answer
    x = 54,531.60

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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.