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Finding the Fourth Proportional to 201,980.80, 302,971.20 and 68,816.80

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Solution

The fourth proportional to 201,980.80, 302,971.20 and 68,816.80 is: 103,225.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,980.80 : 302,971.20 = 68,816.80 : x
  2. Step 2: Convert to fraction form
    201,980.80/302,971.20 = 68,816.80/x
  3. Step 3: Cross multiply
    201,980.80x = 302,971.20 × 68,816.80
  4. Step 4: Simplify right side
    201,980.80x = 20,849,508,476.16
  5. Step 5: Solve for x
    x = 20,849,508,476.16/201,980.80
  6. Step 6: Final answer
    x = 103,225.20

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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.