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Finding the Fourth Proportional to 206,878.50, 285,492.60 and 117,454.50

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Solution

The fourth proportional to 206,878.50, 285,492.60 and 117,454.50 is: 162,087.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,878.50 : 285,492.60 = 117,454.50 : x
  2. Step 2: Convert to fraction form
    206,878.50/285,492.60 = 117,454.50/x
  3. Step 3: Cross multiply
    206,878.50x = 285,492.60 × 117,454.50
  4. Step 4: Simplify right side
    206,878.50x = 33,532,390,586.70
  5. Step 5: Solve for x
    x = 33,532,390,586.70/206,878.50
  6. Step 6: Final answer
    x = 162,087.36

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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.