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Finding the Fourth Proportional to 102,855.40, 154,283.10 and 28,983.40

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Solution

The fourth proportional to 102,855.40, 154,283.10 and 28,983.40 is: 43,475.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,855.40 : 154,283.10 = 28,983.40 : x
  2. Step 2: Convert to fraction form
    102,855.40/154,283.10 = 28,983.40/x
  3. Step 3: Cross multiply
    102,855.40x = 154,283.10 × 28,983.40
  4. Step 4: Simplify right side
    102,855.40x = 4,471,648,800.54
  5. Step 5: Solve for x
    x = 4,471,648,800.54/102,855.40
  6. Step 6: Final answer
    x = 43,475.10

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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.