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Finding the Fourth Proportional to 201,736, 302,576.76 and 83,390.92

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Solution

The fourth proportional to 201,736, 302,576.76 and 83,390.92 is: 125,075.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,736 : 302,576.76 = 83,390.92 : x
  2. Step 2: Convert to fraction form
    201,736/302,576.76 = 83,390.92/x
  3. Step 3: Cross multiply
    201,736x = 302,576.76 × 83,390.92
  4. Step 4: Simplify right side
    201,736x = 25,232,154,387.02
  5. Step 5: Solve for x
    x = 25,232,154,387.02/201,736
  6. Step 6: Final answer
    x = 125,075.12

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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.