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Finding the Fourth Proportional to 201,782.70, 302,544.45 and 83,501.10

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Solution

The fourth proportional to 201,782.70, 302,544.45 and 83,501.10 is: 125,198.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,782.70 : 302,544.45 = 83,501.10 : x
  2. Step 2: Convert to fraction form
    201,782.70/302,544.45 = 83,501.10/x
  3. Step 3: Cross multiply
    201,782.70x = 302,544.45 × 83,501.10
  4. Step 4: Simplify right side
    201,782.70x = 25,262,794,373.90
  5. Step 5: Solve for x
    x = 25,262,794,373.90/201,782.70
  6. Step 6: Final answer
    x = 125,198.02

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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.