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Finding the Fourth Proportional to 201,836.16, 302,763.84 and 77,187.84

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Solution

The fourth proportional to 201,836.16, 302,763.84 and 77,187.84 is: 115,785.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,836.16 : 302,763.84 = 77,187.84 : x
  2. Step 2: Convert to fraction form
    201,836.16/302,763.84 = 77,187.84/x
  3. Step 3: Cross multiply
    201,836.16x = 302,763.84 × 77,187.84
  4. Step 4: Simplify right side
    201,836.16x = 23,369,686,839.71
  5. Step 5: Solve for x
    x = 23,369,686,839.71/201,836.16
  6. Step 6: Final answer
    x = 115,785.43

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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.