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Finding the Fourth Proportional to 201,470.40, 302,205.60 and 83,102.40

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Solution

The fourth proportional to 201,470.40, 302,205.60 and 83,102.40 is: 124,653.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,470.40 : 302,205.60 = 83,102.40 : x
  2. Step 2: Convert to fraction form
    201,470.40/302,205.60 = 83,102.40/x
  3. Step 3: Cross multiply
    201,470.40x = 302,205.60 × 83,102.40
  4. Step 4: Simplify right side
    201,470.40x = 25,114,010,653.44
  5. Step 5: Solve for x
    x = 25,114,010,653.44/201,470.40
  6. Step 6: Final answer
    x = 124,653.60

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1.5x scale

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.