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Finding the Fourth Proportional to 201,930.60, 302,871.78 and 83,587.80

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Solution

The fourth proportional to 201,930.60, 302,871.78 and 83,587.80 is: 125,371.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,930.60 : 302,871.78 = 83,587.80 : x
  2. Step 2: Convert to fraction form
    201,930.60/302,871.78 = 83,587.80/x
  3. Step 3: Cross multiply
    201,930.60x = 302,871.78 × 83,587.80
  4. Step 4: Simplify right side
    201,930.60x = 25,316,385,772.28
  5. Step 5: Solve for x
    x = 25,316,385,772.28/201,930.60
  6. Step 6: Final answer
    x = 125,371.72

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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.