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Finding the Fourth Proportional to 102,666.70, 154,000.05 and 71,173.90

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Solution

The fourth proportional to 102,666.70, 154,000.05 and 71,173.90 is: 106,760.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,666.70 : 154,000.05 = 71,173.90 : x
  2. Step 2: Convert to fraction form
    102,666.70/154,000.05 = 71,173.90/x
  3. Step 3: Cross multiply
    102,666.70x = 154,000.05 × 71,173.90
  4. Step 4: Simplify right side
    102,666.70x = 10,960,784,158.70
  5. Step 5: Solve for x
    x = 10,960,784,158.70/102,666.70
  6. Step 6: Final answer
    x = 106,760.85

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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.