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Finding the Fourth Proportional to 201,477.90, 302,216.85 and 83,109.90

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Solution

The fourth proportional to 201,477.90, 302,216.85 and 83,109.90 is: 124,664.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,477.90 : 302,216.85 = 83,109.90 : x
  2. Step 2: Convert to fraction form
    201,477.90/302,216.85 = 83,109.90/x
  3. Step 3: Cross multiply
    201,477.90x = 302,216.85 × 83,109.90
  4. Step 4: Simplify right side
    201,477.90x = 25,117,212,181.82
  5. Step 5: Solve for x
    x = 25,117,212,181.82/201,477.90
  6. Step 6: Final answer
    x = 124,664.85

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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.