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Finding the Fourth Proportional to 76,178.84, 105,327.48 and 66,720.32

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Solution

The fourth proportional to 76,178.84, 105,327.48 and 66,720.32 is: 92,249.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,178.84 : 105,327.48 = 66,720.32 : x
  2. Step 2: Convert to fraction form
    76,178.84/105,327.48 = 66,720.32/x
  3. Step 3: Cross multiply
    76,178.84x = 105,327.48 × 66,720.32
  4. Step 4: Simplify right side
    76,178.84x = 7,027,483,170.39
  5. Step 5: Solve for x
    x = 7,027,483,170.39/76,178.84
  6. Step 6: Final answer
    x = 92,249.81

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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.