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Finding the Fourth Proportional to 140,952.96, 211,362.48 and 81,806.76

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Solution

The fourth proportional to 140,952.96, 211,362.48 and 81,806.76 is: 122,671.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,952.96 : 211,362.48 = 81,806.76 : x
  2. Step 2: Convert to fraction form
    140,952.96/211,362.48 = 81,806.76/x
  3. Step 3: Cross multiply
    140,952.96x = 211,362.48 × 81,806.76
  4. Step 4: Simplify right side
    140,952.96x = 17,290,879,674.36
  5. Step 5: Solve for x
    x = 17,290,879,674.36/140,952.96
  6. Step 6: Final answer
    x = 122,671.28

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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.