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Finding the Fourth Proportional to 76,891.12, 106,109.76 and 43,357.12

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Solution

The fourth proportional to 76,891.12, 106,109.76 and 43,357.12 is: 59,832.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,891.12 : 106,109.76 = 43,357.12 : x
  2. Step 2: Convert to fraction form
    76,891.12/106,109.76 = 43,357.12/x
  3. Step 3: Cross multiply
    76,891.12x = 106,109.76 × 43,357.12
  4. Step 4: Simplify right side
    76,891.12x = 4,600,613,597.49
  5. Step 5: Solve for x
    x = 4,600,613,597.49/76,891.12
  6. Step 6: Final answer
    x = 59,832.83

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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.