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Finding the Fourth Proportional to 77,096.49, 115,749.63 and 43,386.33

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Solution

The fourth proportional to 77,096.49, 115,749.63 and 43,386.33 is: 65,138.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,096.49 : 115,749.63 = 43,386.33 : x
  2. Step 2: Convert to fraction form
    77,096.49/115,749.63 = 43,386.33/x
  3. Step 3: Cross multiply
    77,096.49x = 115,749.63 × 43,386.33
  4. Step 4: Simplify right side
    77,096.49x = 5,021,951,644.56
  5. Step 5: Solve for x
    x = 5,021,951,644.56/77,096.49
  6. Step 6: Final answer
    x = 65,138.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.