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Finding the Fourth Proportional to 117,891, 162,706.05 and 75,539.75

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Solution

The fourth proportional to 117,891, 162,706.05 and 75,539.75 is: 104,255.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,891 : 162,706.05 = 75,539.75 : x
  2. Step 2: Convert to fraction form
    117,891/162,706.05 = 75,539.75/x
  3. Step 3: Cross multiply
    117,891x = 162,706.05 × 75,539.75
  4. Step 4: Simplify right side
    117,891x = 12,290,773,526.96
  5. Step 5: Solve for x
    x = 12,290,773,526.96/117,891
  6. Step 6: Final answer
    x = 104,255.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.