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Finding the Fourth Proportional to 45,902.70, 68,821.65 and 17,811.90

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Solution

The fourth proportional to 45,902.70, 68,821.65 and 17,811.90 is: 26,705.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,902.70 : 68,821.65 = 17,811.90 : x
  2. Step 2: Convert to fraction form
    45,902.70/68,821.65 = 17,811.90/x
  3. Step 3: Cross multiply
    45,902.70x = 68,821.65 × 17,811.90
  4. Step 4: Simplify right side
    45,902.70x = 1,225,844,347.64
  5. Step 5: Solve for x
    x = 1,225,844,347.64/45,902.70
  6. Step 6: Final answer
    x = 26,705.28

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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.