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Finding the Fourth Proportional to 69,186.51, 103,726.53 and 31,719.60

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Solution

The fourth proportional to 69,186.51, 103,726.53 and 31,719.60 is: 47,554.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,186.51 : 103,726.53 = 31,719.60 : x
  2. Step 2: Convert to fraction form
    69,186.51/103,726.53 = 31,719.60/x
  3. Step 3: Cross multiply
    69,186.51x = 103,726.53 × 31,719.60
  4. Step 4: Simplify right side
    69,186.51x = 3,290,164,040.99
  5. Step 5: Solve for x
    x = 3,290,164,040.99/69,186.51
  6. Step 6: Final answer
    x = 47,554.99

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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.