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Finding the Fourth Proportional to 76,243.64, 105,216.22 and 42,709.56

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Solution

The fourth proportional to 76,243.64, 105,216.22 and 42,709.56 is: 58,939.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,243.64 : 105,216.22 = 42,709.56 : x
  2. Step 2: Convert to fraction form
    76,243.64/105,216.22 = 42,709.56/x
  3. Step 3: Cross multiply
    76,243.64x = 105,216.22 × 42,709.56
  4. Step 4: Simplify right side
    76,243.64x = 4,493,738,461.06
  5. Step 5: Solve for x
    x = 4,493,738,461.06/76,243.64
  6. Step 6: Final answer
    x = 58,939.19

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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.