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Finding the Fourth Proportional to 68,462.70, 102,645.45 and 31,040.70

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Solution

The fourth proportional to 68,462.70, 102,645.45 and 31,040.70 is: 46,539.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,462.70 : 102,645.45 = 31,040.70 : x
  2. Step 2: Convert to fraction form
    68,462.70/102,645.45 = 31,040.70/x
  3. Step 3: Cross multiply
    68,462.70x = 102,645.45 × 31,040.70
  4. Step 4: Simplify right side
    68,462.70x = 3,186,186,619.82
  5. Step 5: Solve for x
    x = 3,186,186,619.82/68,462.70
  6. Step 6: Final answer
    x = 46,539.01

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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.