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Finding the Fourth Proportional to 206,870, 285,492.75 and 155,792.57

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Solution

The fourth proportional to 206,870, 285,492.75 and 155,792.57 is: 215,002.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,870 : 285,492.75 = 155,792.57 : x
  2. Step 2: Convert to fraction form
    206,870/285,492.75 = 155,792.57/x
  3. Step 3: Cross multiply
    206,870x = 285,492.75 × 155,792.57
  4. Step 4: Simplify right side
    206,870x = 44,477,649,238.87
  5. Step 5: Solve for x
    x = 44,477,649,238.87/206,870
  6. Step 6: Final answer
    x = 215,002.90

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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.