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Finding the Fourth Proportional to 255,780, 352,977.10 and 141,055.80

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Solution

The fourth proportional to 255,780, 352,977.10 and 141,055.80 is: 194,657.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,780 : 352,977.10 = 141,055.80 : x
  2. Step 2: Convert to fraction form
    255,780/352,977.10 = 141,055.80/x
  3. Step 3: Cross multiply
    255,780x = 352,977.10 × 141,055.80
  4. Step 4: Simplify right side
    255,780x = 49,789,467,222.18
  5. Step 5: Solve for x
    x = 49,789,467,222.18/255,780
  6. Step 6: Final answer
    x = 194,657.39

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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.