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Finding the Fourth Proportional to 102,782.64, 154,060.74 and 67,229.32

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Solution

The fourth proportional to 102,782.64, 154,060.74 and 67,229.32 is: 100,769.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,782.64 : 154,060.74 = 67,229.32 : x
  2. Step 2: Convert to fraction form
    102,782.64/154,060.74 = 67,229.32/x
  3. Step 3: Cross multiply
    102,782.64x = 154,060.74 × 67,229.32
  4. Step 4: Simplify right side
    102,782.64x = 10,357,398,788.90
  5. Step 5: Solve for x
    x = 10,357,398,788.90/102,782.64
  6. Step 6: Final answer
    x = 100,769.92

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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.