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Finding the Fourth Proportional to 102,689.60, 154,034.40 and 28,817.60

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Solution

The fourth proportional to 102,689.60, 154,034.40 and 28,817.60 is: 43,226.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,689.60 : 154,034.40 = 28,817.60 : x
  2. Step 2: Convert to fraction form
    102,689.60/154,034.40 = 28,817.60/x
  3. Step 3: Cross multiply
    102,689.60x = 154,034.40 × 28,817.60
  4. Step 4: Simplify right side
    102,689.60x = 4,438,901,725.44
  5. Step 5: Solve for x
    x = 4,438,901,725.44/102,689.60
  6. Step 6: Final answer
    x = 43,226.40

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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.