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Finding the Fourth Proportional to 68,615.16, 102,860.43 and 31,155.03

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Solution

The fourth proportional to 68,615.16, 102,860.43 and 31,155.03 is: 46,704.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,615.16 : 102,860.43 = 31,155.03 : x
  2. Step 2: Convert to fraction form
    68,615.16/102,860.43 = 31,155.03/x
  3. Step 3: Cross multiply
    68,615.16x = 102,860.43 × 31,155.03
  4. Step 4: Simplify right side
    68,615.16x = 3,204,619,782.46
  5. Step 5: Solve for x
    x = 3,204,619,782.46/68,615.16
  6. Step 6: Final answer
    x = 46,704.25

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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.