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Finding the Fourth Proportional to 201,496.40, 302,244.60 and 83,128.40

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Solution

The fourth proportional to 201,496.40, 302,244.60 and 83,128.40 is: 124,692.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,496.40 : 302,244.60 = 83,128.40 : x
  2. Step 2: Convert to fraction form
    201,496.40/302,244.60 = 83,128.40/x
  3. Step 3: Cross multiply
    201,496.40x = 302,244.60 × 83,128.40
  4. Step 4: Simplify right side
    201,496.40x = 25,125,110,006.64
  5. Step 5: Solve for x
    x = 25,125,110,006.64/201,496.40
  6. Step 6: Final answer
    x = 124,692.60

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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.