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Finding the Fourth Proportional to 201,628.70, 302,443.05 and 83,384.90

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Solution

The fourth proportional to 201,628.70, 302,443.05 and 83,384.90 is: 125,077.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,628.70 : 302,443.05 = 83,384.90 : x
  2. Step 2: Convert to fraction form
    201,628.70/302,443.05 = 83,384.90/x
  3. Step 3: Cross multiply
    201,628.70x = 302,443.05 × 83,384.90
  4. Step 4: Simplify right side
    201,628.70x = 25,219,183,479.95
  5. Step 5: Solve for x
    x = 25,219,183,479.95/201,628.70
  6. Step 6: Final answer
    x = 125,077.35

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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.