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Finding the Fourth Proportional to 139,943.20, 209,780.40 and 46,400.80

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Solution

The fourth proportional to 139,943.20, 209,780.40 and 46,400.80 is: 69,556.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,943.20 : 209,780.40 = 46,400.80 : x
  2. Step 2: Convert to fraction form
    139,943.20/209,780.40 = 46,400.80/x
  3. Step 3: Cross multiply
    139,943.20x = 209,780.40 × 46,400.80
  4. Step 4: Simplify right side
    139,943.20x = 9,733,978,384.32
  5. Step 5: Solve for x
    x = 9,733,978,384.32/139,943.20
  6. Step 6: Final answer
    x = 69,556.64

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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.