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Finding the Fourth Proportional to 144,004.67, 216,054.39 and 68,135.81

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Solution

The fourth proportional to 144,004.67, 216,054.39 and 68,135.81 is: 102,226.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,004.67 : 216,054.39 = 68,135.81 : x
  2. Step 2: Convert to fraction form
    144,004.67/216,054.39 = 68,135.81/x
  3. Step 3: Cross multiply
    144,004.67x = 216,054.39 × 68,135.81
  4. Step 4: Simplify right side
    144,004.67x = 14,721,040,866.71
  5. Step 5: Solve for x
    x = 14,721,040,866.71/144,004.67
  6. Step 6: Final answer
    x = 102,226.14

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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.