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Finding the Fourth Proportional to 201,653.70, 302,480.55 and 83,409.90

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Solution

The fourth proportional to 201,653.70, 302,480.55 and 83,409.90 is: 125,114.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,653.70 : 302,480.55 = 83,409.90 : x
  2. Step 2: Convert to fraction form
    201,653.70/302,480.55 = 83,409.90/x
  3. Step 3: Cross multiply
    201,653.70x = 302,480.55 × 83,409.90
  4. Step 4: Simplify right side
    201,653.70x = 25,229,872,427.45
  5. Step 5: Solve for x
    x = 25,229,872,427.45/201,653.70
  6. Step 6: Final answer
    x = 125,114.85

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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.