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Finding the Fourth Proportional to 68,674.95, 102,980.70 and 31,233.51

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Solution

The fourth proportional to 68,674.95, 102,980.70 and 31,233.51 is: 46,835.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,674.95 : 102,980.70 = 31,233.51 : x
  2. Step 2: Convert to fraction form
    68,674.95/102,980.70 = 31,233.51/x
  3. Step 3: Cross multiply
    68,674.95x = 102,980.70 × 31,233.51
  4. Step 4: Simplify right side
    68,674.95x = 3,216,448,723.26
  5. Step 5: Solve for x
    x = 3,216,448,723.26/68,674.95
  6. Step 6: Final answer
    x = 46,835.84

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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.