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Finding the Fourth Proportional to 76,755.19, 105,155 and 73,878.84

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Solution

The fourth proportional to 76,755.19, 105,155 and 73,878.84 is: 101,214.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,755.19 : 105,155 = 73,878.84 : x
  2. Step 2: Convert to fraction form
    76,755.19/105,155 = 73,878.84/x
  3. Step 3: Cross multiply
    76,755.19x = 105,155 × 73,878.84
  4. Step 4: Simplify right side
    76,755.19x = 7,768,729,420.20
  5. Step 5: Solve for x
    x = 7,768,729,420.20/76,755.19
  6. Step 6: Final answer
    x = 101,214.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.