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Finding the Fourth Proportional to 68,275.47, 102,431.79 and 20,889.51

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Solution

The fourth proportional to 68,275.47, 102,431.79 and 20,889.51 is: 31,339.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,275.47 : 102,431.79 = 20,889.51 : x
  2. Step 2: Convert to fraction form
    68,275.47/102,431.79 = 20,889.51/x
  3. Step 3: Cross multiply
    68,275.47x = 102,431.79 × 20,889.51
  4. Step 4: Simplify right side
    68,275.47x = 2,139,749,901.52
  5. Step 5: Solve for x
    x = 2,139,749,901.52/68,275.47
  6. Step 6: Final answer
    x = 31,339.95

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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.