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Finding the Fourth Proportional to 47,069, 64,969.80 and 30,302

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Solution

The fourth proportional to 47,069, 64,969.80 and 30,302 is: 41,826.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,069 : 64,969.80 = 30,302 : x
  2. Step 2: Convert to fraction form
    47,069/64,969.80 = 30,302/x
  3. Step 3: Cross multiply
    47,069x = 64,969.80 × 30,302
  4. Step 4: Simplify right side
    47,069x = 1,968,714,879.60
  5. Step 5: Solve for x
    x = 1,968,714,879.60/47,069
  6. Step 6: Final answer
    x = 41,826.15

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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.