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Finding the Fourth Proportional to 76,202.25, 105,162.84 and 45,987.05

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Solution

The fourth proportional to 76,202.25, 105,162.84 and 45,987.05 is: 63,464.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,202.25 : 105,162.84 = 45,987.05 : x
  2. Step 2: Convert to fraction form
    76,202.25/105,162.84 = 45,987.05/x
  3. Step 3: Cross multiply
    76,202.25x = 105,162.84 × 45,987.05
  4. Step 4: Simplify right side
    76,202.25x = 4,836,128,255.41
  5. Step 5: Solve for x
    x = 4,836,128,255.41/76,202.25
  6. Step 6: Final answer
    x = 63,464.38

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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.