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Finding the Fourth Proportional to 257,203.73, 385,664.66 and 79,661.45

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Solution

The fourth proportional to 257,203.73, 385,664.66 and 79,661.45 is: 119,448.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,203.73 : 385,664.66 = 79,661.45 : x
  2. Step 2: Convert to fraction form
    257,203.73/385,664.66 = 79,661.45/x
  3. Step 3: Cross multiply
    257,203.73x = 385,664.66 × 79,661.45
  4. Step 4: Simplify right side
    257,203.73x = 30,722,605,631.05
  5. Step 5: Solve for x
    x = 30,722,605,631.05/257,203.73
  6. Step 6: Final answer
    x = 119,448.52

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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.