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Finding the Fourth Proportional to 68,315.64, 102,485.76 and 30,893.28

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Solution

The fourth proportional to 68,315.64, 102,485.76 and 30,893.28 is: 46,345.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,315.64 : 102,485.76 = 30,893.28 : x
  2. Step 2: Convert to fraction form
    68,315.64/102,485.76 = 30,893.28/x
  3. Step 3: Cross multiply
    68,315.64x = 102,485.76 × 30,893.28
  4. Step 4: Simplify right side
    68,315.64x = 3,166,121,279.69
  5. Step 5: Solve for x
    x = 3,166,121,279.69/68,315.64
  6. Step 6: Final answer
    x = 46,345.48

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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.