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Finding the Fourth Proportional to 201,683.20, 302,524.80 and 83,439.40

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Solution

The fourth proportional to 201,683.20, 302,524.80 and 83,439.40 is: 125,159.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,683.20 : 302,524.80 = 83,439.40 : x
  2. Step 2: Convert to fraction form
    201,683.20/302,524.80 = 83,439.40/x
  3. Step 3: Cross multiply
    201,683.20x = 302,524.80 × 83,439.40
  4. Step 4: Simplify right side
    201,683.20x = 25,242,487,797.12
  5. Step 5: Solve for x
    x = 25,242,487,797.12/201,683.20
  6. Step 6: Final answer
    x = 125,159.10

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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.