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Finding the Fourth Proportional to 102,853.92, 154,300.32 and 69,650.40

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Solution

The fourth proportional to 102,853.92, 154,300.32 and 69,650.40 is: 104,488.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,853.92 : 154,300.32 = 69,650.40 : x
  2. Step 2: Convert to fraction form
    102,853.92/154,300.32 = 69,650.40/x
  3. Step 3: Cross multiply
    102,853.92x = 154,300.32 × 69,650.40
  4. Step 4: Simplify right side
    102,853.92x = 10,747,079,008.13
  5. Step 5: Solve for x
    x = 10,747,079,008.13/102,853.92
  6. Step 6: Final answer
    x = 104,488.76

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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.