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Finding the Fourth Proportional to 68,088.72, 102,136.32 and 21,342

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Solution

The fourth proportional to 68,088.72, 102,136.32 and 21,342 is: 32,014.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,088.72 : 102,136.32 = 21,342 : x
  2. Step 2: Convert to fraction form
    68,088.72/102,136.32 = 21,342/x
  3. Step 3: Cross multiply
    68,088.72x = 102,136.32 × 21,342
  4. Step 4: Simplify right side
    68,088.72x = 2,179,793,341.44
  5. Step 5: Solve for x
    x = 2,179,793,341.44/68,088.72
  6. Step 6: Final answer
    x = 32,014.02

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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.