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Finding the Fourth Proportional to 201,644.70, 302,467.05 and 83,400.90

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Solution

The fourth proportional to 201,644.70, 302,467.05 and 83,400.90 is: 125,101.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,644.70 : 302,467.05 = 83,400.90 : x
  2. Step 2: Convert to fraction form
    201,644.70/302,467.05 = 83,400.90/x
  3. Step 3: Cross multiply
    201,644.70x = 302,467.05 × 83,400.90
  4. Step 4: Simplify right side
    201,644.70x = 25,226,024,190.35
  5. Step 5: Solve for x
    x = 25,226,024,190.35/201,644.70
  6. Step 6: Final answer
    x = 125,101.35

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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.