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Finding the Fourth Proportional to 255,487.14, 352,583.13 and 142,309.94

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Solution

The fourth proportional to 255,487.14, 352,583.13 and 142,309.94 is: 196,393.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,487.14 : 352,583.13 = 142,309.94 : x
  2. Step 2: Convert to fraction form
    255,487.14/352,583.13 = 142,309.94/x
  3. Step 3: Cross multiply
    255,487.14x = 352,583.13 × 142,309.94
  4. Step 4: Simplify right side
    255,487.14x = 50,176,084,075.31
  5. Step 5: Solve for x
    x = 50,176,084,075.31/255,487.14
  6. Step 6: Final answer
    x = 196,393.78

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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.