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Finding the Fourth Proportional to 257,003.82, 385,463.61 and 70,029.90

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Solution

The fourth proportional to 257,003.82, 385,463.61 and 70,029.90 is: 105,033.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,003.82 : 385,463.61 = 70,029.90 : x
  2. Step 2: Convert to fraction form
    257,003.82/385,463.61 = 70,029.90/x
  3. Step 3: Cross multiply
    257,003.82x = 385,463.61 × 70,029.90
  4. Step 4: Simplify right side
    257,003.82x = 26,993,978,061.94
  5. Step 5: Solve for x
    x = 26,993,978,061.94/257,003.82
  6. Step 6: Final answer
    x = 105,033.37

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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.