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Finding the Fourth Proportional to 83,143, 114,739.86 and 45,419.68

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Solution

The fourth proportional to 83,143, 114,739.86 and 45,419.68 is: 62,680.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,143 : 114,739.86 = 45,419.68 : x
  2. Step 2: Convert to fraction form
    83,143/114,739.86 = 45,419.68/x
  3. Step 3: Cross multiply
    83,143x = 114,739.86 × 45,419.68
  4. Step 4: Simplify right side
    83,143x = 5,211,447,724.44
  5. Step 5: Solve for x
    x = 5,211,447,724.44/83,143
  6. Step 6: Final answer
    x = 62,680.54

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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.