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Finding the Fourth Proportional to 68,597.34, 102,902.16 and 18,677.70

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Solution

The fourth proportional to 68,597.34, 102,902.16 and 18,677.70 is: 28,018.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,597.34 : 102,902.16 = 18,677.70 : x
  2. Step 2: Convert to fraction form
    68,597.34/102,902.16 = 18,677.70/x
  3. Step 3: Cross multiply
    68,597.34x = 102,902.16 × 18,677.70
  4. Step 4: Simplify right side
    68,597.34x = 1,921,975,673.83
  5. Step 5: Solve for x
    x = 1,921,975,673.83/68,597.34
  6. Step 6: Final answer
    x = 28,018.22

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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.