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Finding the Fourth Proportional to 76,855.32, 106,065.22 and 43,323.48

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Solution

The fourth proportional to 76,855.32, 106,065.22 and 43,323.48 is: 59,789.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,855.32 : 106,065.22 = 43,323.48 : x
  2. Step 2: Convert to fraction form
    76,855.32/106,065.22 = 43,323.48/x
  3. Step 3: Cross multiply
    76,855.32x = 106,065.22 × 43,323.48
  4. Step 4: Simplify right side
    76,855.32x = 4,595,114,437.37
  5. Step 5: Solve for x
    x = 4,595,114,437.37/76,855.32
  6. Step 6: Final answer
    x = 59,789.15

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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.