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Finding the Fourth Proportional to 140,879.80, 211,538.40 and 81,830.80

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Solution

The fourth proportional to 140,879.80, 211,538.40 and 81,830.80 is: 122,873.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,879.80 : 211,538.40 = 81,830.80 : x
  2. Step 2: Convert to fraction form
    140,879.80/211,538.40 = 81,830.80/x
  3. Step 3: Cross multiply
    140,879.80x = 211,538.40 × 81,830.80
  4. Step 4: Simplify right side
    140,879.80x = 17,310,356,502.72
  5. Step 5: Solve for x
    x = 17,310,356,502.72/140,879.80
  6. Step 6: Final answer
    x = 122,873.23

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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.