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Finding the Fourth Proportional to 201,359.30, 302,038.95 and 82,969.70

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Solution

The fourth proportional to 201,359.30, 302,038.95 and 82,969.70 is: 124,454.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,359.30 : 302,038.95 = 82,969.70 : x
  2. Step 2: Convert to fraction form
    201,359.30/302,038.95 = 82,969.70/x
  3. Step 3: Cross multiply
    201,359.30x = 302,038.95 × 82,969.70
  4. Step 4: Simplify right side
    201,359.30x = 25,060,081,069.82
  5. Step 5: Solve for x
    x = 25,060,081,069.82/201,359.30
  6. Step 6: Final answer
    x = 124,454.55

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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.