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Finding the Fourth Proportional to 201,662.30, 302,602.80 and 83,345.60

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Solution

The fourth proportional to 201,662.30, 302,602.80 and 83,345.60 is: 125,063.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,662.30 : 302,602.80 = 83,345.60 : x
  2. Step 2: Convert to fraction form
    201,662.30/302,602.80 = 83,345.60/x
  3. Step 3: Cross multiply
    201,662.30x = 302,602.80 × 83,345.60
  4. Step 4: Simplify right side
    201,662.30x = 25,220,611,927.68
  5. Step 5: Solve for x
    x = 25,220,611,927.68/201,662.30
  6. Step 6: Final answer
    x = 125,063.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.