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Finding the Fourth Proportional to 201,683.90, 302,525.85 and 83,440.10

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Solution

The fourth proportional to 201,683.90, 302,525.85 and 83,440.10 is: 125,160.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,683.90 : 302,525.85 = 83,440.10 : x
  2. Step 2: Convert to fraction form
    201,683.90/302,525.85 = 83,440.10/x
  3. Step 3: Cross multiply
    201,683.90x = 302,525.85 × 83,440.10
  4. Step 4: Simplify right side
    201,683.90x = 25,242,787,176.59
  5. Step 5: Solve for x
    x = 25,242,787,176.59/201,683.90
  6. Step 6: Final answer
    x = 125,160.15

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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.