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Finding the Fourth Proportional to 206,869.50, 285,492.06 and 155,792.07

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Solution

The fourth proportional to 206,869.50, 285,492.06 and 155,792.07 is: 215,002.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,869.50 : 285,492.06 = 155,792.07 : x
  2. Step 2: Convert to fraction form
    206,869.50/285,492.06 = 155,792.07/x
  3. Step 3: Cross multiply
    206,869.50x = 285,492.06 × 155,792.07
  4. Step 4: Simplify right side
    206,869.50x = 44,477,398,995.96
  5. Step 5: Solve for x
    x = 44,477,398,995.96/206,869.50
  6. Step 6: Final answer
    x = 215,002.21

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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.