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Finding the Fourth Proportional to 140,780.80, 211,054.40 and 52,017.60

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Solution

The fourth proportional to 140,780.80, 211,054.40 and 52,017.60 is: 77,983.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,780.80 : 211,054.40 = 52,017.60 : x
  2. Step 2: Convert to fraction form
    140,780.80/211,054.40 = 52,017.60/x
  3. Step 3: Cross multiply
    140,780.80x = 211,054.40 × 52,017.60
  4. Step 4: Simplify right side
    140,780.80x = 10,978,543,357.44
  5. Step 5: Solve for x
    x = 10,978,543,357.44/140,780.80
  6. Step 6: Final answer
    x = 77,983.24

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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.