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Finding the Fourth Proportional to 78,485.44, 108,341.28 and 48,283

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Solution

The fourth proportional to 78,485.44, 108,341.28 and 48,283 is: 66,649.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,485.44 : 108,341.28 = 48,283 : x
  2. Step 2: Convert to fraction form
    78,485.44/108,341.28 = 48,283/x
  3. Step 3: Cross multiply
    78,485.44x = 108,341.28 × 48,283
  4. Step 4: Simplify right side
    78,485.44x = 5,231,042,022.24
  5. Step 5: Solve for x
    x = 5,231,042,022.24/78,485.44
  6. Step 6: Final answer
    x = 66,649.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.