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Finding the Fourth Proportional to 83,905.48, 115,790.34 and 46,180

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Solution

The fourth proportional to 83,905.48, 115,790.34 and 46,180 is: 63,728.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,905.48 : 115,790.34 = 46,180 : x
  2. Step 2: Convert to fraction form
    83,905.48/115,790.34 = 46,180/x
  3. Step 3: Cross multiply
    83,905.48x = 115,790.34 × 46,180
  4. Step 4: Simplify right side
    83,905.48x = 5,347,197,901.20
  5. Step 5: Solve for x
    x = 5,347,197,901.20/83,905.48
  6. Step 6: Final answer
    x = 63,728.83

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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.