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Finding the Fourth Proportional to 201,454.80, 302,291.55 and 83,138.10

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Solution

The fourth proportional to 201,454.80, 302,291.55 and 83,138.10 is: 124,752.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,454.80 : 302,291.55 = 83,138.10 : x
  2. Step 2: Convert to fraction form
    201,454.80/302,291.55 = 83,138.10/x
  3. Step 3: Cross multiply
    201,454.80x = 302,291.55 × 83,138.10
  4. Step 4: Simplify right side
    201,454.80x = 25,131,945,113.06
  5. Step 5: Solve for x
    x = 25,131,945,113.06/201,454.80
  6. Step 6: Final answer
    x = 124,752.28

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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.