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Finding the Fourth Proportional to 201,417.05, 302,133.77 and 83,077.11

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Solution

The fourth proportional to 201,417.05, 302,133.77 and 83,077.11 is: 124,619.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,417.05 : 302,133.77 = 83,077.11 : x
  2. Step 2: Convert to fraction form
    201,417.05/302,133.77 = 83,077.11/x
  3. Step 3: Cross multiply
    201,417.05x = 302,133.77 × 83,077.11
  4. Step 4: Simplify right side
    201,417.05x = 25,100,400,445.00
  5. Step 5: Solve for x
    x = 25,100,400,445.00/201,417.05
  6. Step 6: Final answer
    x = 124,619.05

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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.