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Finding the Fourth Proportional to 163,873.36, 245,803.84 and 67,808

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Solution

The fourth proportional to 163,873.36, 245,803.84 and 67,808 is: 101,709.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,873.36 : 245,803.84 = 67,808 : x
  2. Step 2: Convert to fraction form
    163,873.36/245,803.84 = 67,808/x
  3. Step 3: Cross multiply
    163,873.36x = 245,803.84 × 67,808
  4. Step 4: Simplify right side
    163,873.36x = 16,667,466,782.72
  5. Step 5: Solve for x
    x = 16,667,466,782.72/163,873.36
  6. Step 6: Final answer
    x = 101,709.43

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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.