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Finding the Fourth Proportional to 68,435.96, 102,638.46 and 21,663.32

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Solution

The fourth proportional to 68,435.96, 102,638.46 and 21,663.32 is: 32,490.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,435.96 : 102,638.46 = 21,663.32 : x
  2. Step 2: Convert to fraction form
    68,435.96/102,638.46 = 21,663.32/x
  3. Step 3: Cross multiply
    68,435.96x = 102,638.46 × 21,663.32
  4. Step 4: Simplify right side
    68,435.96x = 2,223,489,803.29
  5. Step 5: Solve for x
    x = 2,223,489,803.29/68,435.96
  6. Step 6: Final answer
    x = 32,490.08

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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.