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Finding the Fourth Proportional to 253,154.25, 349,363.80 and 139,977

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Solution

The fourth proportional to 253,154.25, 349,363.80 and 139,977 is: 193,174.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,154.25 : 349,363.80 = 139,977 : x
  2. Step 2: Convert to fraction form
    253,154.25/349,363.80 = 139,977/x
  3. Step 3: Cross multiply
    253,154.25x = 349,363.80 × 139,977
  4. Step 4: Simplify right side
    253,154.25x = 48,902,896,632.60
  5. Step 5: Solve for x
    x = 48,902,896,632.60/253,154.25
  6. Step 6: Final answer
    x = 193,174.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.