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Finding the Fourth Proportional to 157,062.75, 235,669.73 and 78,183.87

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Solution

The fourth proportional to 157,062.75, 235,669.73 and 78,183.87 is: 117,313.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,062.75 : 235,669.73 = 78,183.87 : x
  2. Step 2: Convert to fraction form
    157,062.75/235,669.73 = 78,183.87/x
  3. Step 3: Cross multiply
    157,062.75x = 235,669.73 × 78,183.87
  4. Step 4: Simplify right side
    157,062.75x = 18,425,571,533.26
  5. Step 5: Solve for x
    x = 18,425,571,533.26/157,062.75
  6. Step 6: Final answer
    x = 117,313.44

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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.