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Finding the Fourth Proportional to 68,530.68, 102,770.10 and 26,955

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Solution

The fourth proportional to 68,530.68, 102,770.10 and 26,955 is: 40,422.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,530.68 : 102,770.10 = 26,955 : x
  2. Step 2: Convert to fraction form
    68,530.68/102,770.10 = 26,955/x
  3. Step 3: Cross multiply
    68,530.68x = 102,770.10 × 26,955
  4. Step 4: Simplify right side
    68,530.68x = 2,770,168,045.50
  5. Step 5: Solve for x
    x = 2,770,168,045.50/68,530.68
  6. Step 6: Final answer
    x = 40,422.30

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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.