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Finding the Fourth Proportional to 257,203.37, 385,743.08 and 77,250.94

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Solution

The fourth proportional to 257,203.37, 385,743.08 and 77,250.94 is: 115,857.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,203.37 : 385,743.08 = 77,250.94 : x
  2. Step 2: Convert to fraction form
    257,203.37/385,743.08 = 77,250.94/x
  3. Step 3: Cross multiply
    257,203.37x = 385,743.08 × 77,250.94
  4. Step 4: Simplify right side
    257,203.37x = 29,799,015,528.50
  5. Step 5: Solve for x
    x = 29,799,015,528.50/257,203.37
  6. Step 6: Final answer
    x = 115,857.80

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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.