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Finding the Fourth Proportional to 201,868.30, 302,693.10 and 83,405.80

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Solution

The fourth proportional to 201,868.30, 302,693.10 and 83,405.80 is: 125,063.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,868.30 : 302,693.10 = 83,405.80 : x
  2. Step 2: Convert to fraction form
    201,868.30/302,693.10 = 83,405.80/x
  3. Step 3: Cross multiply
    201,868.30x = 302,693.10 × 83,405.80
  4. Step 4: Simplify right side
    201,868.30x = 25,246,360,159.98
  5. Step 5: Solve for x
    x = 25,246,360,159.98/201,868.30
  6. Step 6: Final answer
    x = 125,063.52

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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.