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Finding the Fourth Proportional to 206,802.18, 285,379.47 and 126,364.32

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Solution

The fourth proportional to 206,802.18, 285,379.47 and 126,364.32 is: 174,378.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,802.18 : 285,379.47 = 126,364.32 : x
  2. Step 2: Convert to fraction form
    206,802.18/285,379.47 = 126,364.32/x
  3. Step 3: Cross multiply
    206,802.18x = 285,379.47 × 126,364.32
  4. Step 4: Simplify right side
    206,802.18x = 36,061,782,668.51
  5. Step 5: Solve for x
    x = 36,061,782,668.51/206,802.18
  6. Step 6: Final answer
    x = 174,378.16

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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.