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Finding the Fourth Proportional to 201,804.60, 302,706.90 and 83,706.60

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Solution

The fourth proportional to 201,804.60, 302,706.90 and 83,706.60 is: 125,559.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,804.60 : 302,706.90 = 83,706.60 : x
  2. Step 2: Convert to fraction form
    201,804.60/302,706.90 = 83,706.60/x
  3. Step 3: Cross multiply
    201,804.60x = 302,706.90 × 83,706.60
  4. Step 4: Simplify right side
    201,804.60x = 25,338,565,395.54
  5. Step 5: Solve for x
    x = 25,338,565,395.54/201,804.60
  6. Step 6: Final answer
    x = 125,559.90

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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.