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Finding the Fourth Proportional to 83,415.96, 115,112.88 and 45,690.48

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Solution

The fourth proportional to 83,415.96, 115,112.88 and 45,690.48 is: 63,052.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,415.96 : 115,112.88 = 45,690.48 : x
  2. Step 2: Convert to fraction form
    83,415.96/115,112.88 = 45,690.48/x
  3. Step 3: Cross multiply
    83,415.96x = 115,112.88 × 45,690.48
  4. Step 4: Simplify right side
    83,415.96x = 5,259,562,741.38
  5. Step 5: Solve for x
    x = 5,259,562,741.38/83,415.96
  6. Step 6: Final answer
    x = 63,052.24

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1.5x scale

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.