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Finding the Fourth Proportional to 207,245.81, 285,999.23 and 117,821.81

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Solution

The fourth proportional to 207,245.81, 285,999.23 and 117,821.81 is: 162,594.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,245.81 : 285,999.23 = 117,821.81 : x
  2. Step 2: Convert to fraction form
    207,245.81/285,999.23 = 117,821.81/x
  3. Step 3: Cross multiply
    207,245.81x = 285,999.23 × 117,821.81
  4. Step 4: Simplify right side
    207,245.81x = 33,696,947,946.76
  5. Step 5: Solve for x
    x = 33,696,947,946.76/207,245.81
  6. Step 6: Final answer
    x = 162,594.11

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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.