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Finding the Fourth Proportional to 206,746.76, 285,341.40 and 126,220.98

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Solution

The fourth proportional to 206,746.76, 285,341.40 and 126,220.98 is: 174,203.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,746.76 : 285,341.40 = 126,220.98 : x
  2. Step 2: Convert to fraction form
    206,746.76/285,341.40 = 126,220.98/x
  3. Step 3: Cross multiply
    206,746.76x = 285,341.40 × 126,220.98
  4. Step 4: Simplify right side
    206,746.76x = 36,016,071,142.57
  5. Step 5: Solve for x
    x = 36,016,071,142.57/206,746.76
  6. Step 6: Final answer
    x = 174,203.80

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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.