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Finding the Fourth Proportional to 201,604.30, 302,406.45 and 83,214.70

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Solution

The fourth proportional to 201,604.30, 302,406.45 and 83,214.70 is: 124,822.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,604.30 : 302,406.45 = 83,214.70 : x
  2. Step 2: Convert to fraction form
    201,604.30/302,406.45 = 83,214.70/x
  3. Step 3: Cross multiply
    201,604.30x = 302,406.45 × 83,214.70
  4. Step 4: Simplify right side
    201,604.30x = 25,164,662,014.82
  5. Step 5: Solve for x
    x = 25,164,662,014.82/201,604.30
  6. Step 6: Final answer
    x = 124,822.05

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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.