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Finding the Fourth Proportional to 257,202.37, 385,741.58 and 77,249.94

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Solution

The fourth proportional to 257,202.37, 385,741.58 and 77,249.94 is: 115,856.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,202.37 : 385,741.58 = 77,249.94 : x
  2. Step 2: Convert to fraction form
    257,202.37/385,741.58 = 77,249.94/x
  3. Step 3: Cross multiply
    257,202.37x = 385,741.58 × 77,249.94
  4. Step 4: Simplify right side
    257,202.37x = 29,798,513,910.51
  5. Step 5: Solve for x
    x = 29,798,513,910.51/257,202.37
  6. Step 6: Final answer
    x = 115,856.30

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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.