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Finding the Fourth Proportional to 102,754.60, 154,016.70 and 52,815.40

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Solution

The fourth proportional to 102,754.60, 154,016.70 and 52,815.40 is: 79,163.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,754.60 : 154,016.70 = 52,815.40 : x
  2. Step 2: Convert to fraction form
    102,754.60/154,016.70 = 52,815.40/x
  3. Step 3: Cross multiply
    102,754.60x = 154,016.70 × 52,815.40
  4. Step 4: Simplify right side
    102,754.60x = 8,134,453,617.18
  5. Step 5: Solve for x
    x = 8,134,453,617.18/102,754.60
  6. Step 6: Final answer
    x = 79,163.89

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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.