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Finding the Fourth Proportional to 102,995.86, 154,223.10 and 82,898.40

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Solution

The fourth proportional to 102,995.86, 154,223.10 and 82,898.40 is: 124,129.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,995.86 : 154,223.10 = 82,898.40 : x
  2. Step 2: Convert to fraction form
    102,995.86/154,223.10 = 82,898.40/x
  3. Step 3: Cross multiply
    102,995.86x = 154,223.10 × 82,898.40
  4. Step 4: Simplify right side
    102,995.86x = 12,784,848,233.04
  5. Step 5: Solve for x
    x = 12,784,848,233.04/102,995.86
  6. Step 6: Final answer
    x = 124,129.73

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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.