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Finding the Fourth Proportional to 68,656.10, 102,984.15 and 29,200.10

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Solution

The fourth proportional to 68,656.10, 102,984.15 and 29,200.10 is: 43,800.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,656.10 : 102,984.15 = 29,200.10 : x
  2. Step 2: Convert to fraction form
    68,656.10/102,984.15 = 29,200.10/x
  3. Step 3: Cross multiply
    68,656.10x = 102,984.15 × 29,200.10
  4. Step 4: Simplify right side
    68,656.10x = 3,007,147,478.42
  5. Step 5: Solve for x
    x = 3,007,147,478.42/68,656.10
  6. Step 6: Final answer
    x = 43,800.15

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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.