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Finding the Fourth Proportional to 68,284, 102,444.23 and 21,536.88

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Solution

The fourth proportional to 68,284, 102,444.23 and 21,536.88 is: 32,311.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,284 : 102,444.23 = 21,536.88 : x
  2. Step 2: Convert to fraction form
    68,284/102,444.23 = 21,536.88/x
  3. Step 3: Cross multiply
    68,284x = 102,444.23 × 21,536.88
  4. Step 4: Simplify right side
    68,284x = 2,206,329,088.20
  5. Step 5: Solve for x
    x = 2,206,329,088.20/68,284
  6. Step 6: Final answer
    x = 32,311.07

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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.