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Finding the Fourth Proportional to 206,755.50, 285,430.96 and 139,128.06

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Solution

The fourth proportional to 206,755.50, 285,430.96 and 139,128.06 is: 192,069.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,755.50 : 285,430.96 = 139,128.06 : x
  2. Step 2: Convert to fraction form
    206,755.50/285,430.96 = 139,128.06/x
  3. Step 3: Cross multiply
    206,755.50x = 285,430.96 × 139,128.06
  4. Step 4: Simplify right side
    206,755.50x = 39,711,455,033.10
  5. Step 5: Solve for x
    x = 39,711,455,033.10/206,755.50
  6. Step 6: Final answer
    x = 192,069.64

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1.5x scale

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.