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Finding the Fourth Proportional to 83,550.72, 115,300.16 and 45,825.28

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Solution

The fourth proportional to 83,550.72, 115,300.16 and 45,825.28 is: 63,238.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,550.72 : 115,300.16 = 45,825.28 : x
  2. Step 2: Convert to fraction form
    83,550.72/115,300.16 = 45,825.28/x
  3. Step 3: Cross multiply
    83,550.72x = 115,300.16 × 45,825.28
  4. Step 4: Simplify right side
    83,550.72x = 5,283,662,116.04
  5. Step 5: Solve for x
    x = 5,283,662,116.04/83,550.72
  6. Step 6: Final answer
    x = 63,238.98

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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.