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Finding the Fourth Proportional to 47,385.84, 65,391.24 and 31,233.36

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Solution

The fourth proportional to 47,385.84, 65,391.24 and 31,233.36 is: 43,101.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,385.84 : 65,391.24 = 31,233.36 : x
  2. Step 2: Convert to fraction form
    47,385.84/65,391.24 = 31,233.36/x
  3. Step 3: Cross multiply
    47,385.84x = 65,391.24 × 31,233.36
  4. Step 4: Simplify right side
    47,385.84x = 2,042,388,139.77
  5. Step 5: Solve for x
    x = 2,042,388,139.77/47,385.84
  6. Step 6: Final answer
    x = 43,101.23

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