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Finding the Fourth Proportional to 140,804.88, 211,290.54 and 52,120.68

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Solution

The fourth proportional to 140,804.88, 211,290.54 and 52,120.68 is: 78,211.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,804.88 : 211,290.54 = 52,120.68 : x
  2. Step 2: Convert to fraction form
    140,804.88/211,290.54 = 52,120.68/x
  3. Step 3: Cross multiply
    140,804.88x = 211,290.54 × 52,120.68
  4. Step 4: Simplify right side
    140,804.88x = 11,012,606,622.37
  5. Step 5: Solve for x
    x = 11,012,606,622.37/140,804.88
  6. Step 6: Final answer
    x = 78,211.82

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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.