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Finding the Fourth Proportional to 139,786.42, 209,712.42 and 46,292.20

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Solution

The fourth proportional to 139,786.42, 209,712.42 and 46,292.20 is: 69,449.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,786.42 : 209,712.42 = 46,292.20 : x
  2. Step 2: Convert to fraction form
    139,786.42/209,712.42 = 46,292.20/x
  3. Step 3: Cross multiply
    139,786.42x = 209,712.42 × 46,292.20
  4. Step 4: Simplify right side
    139,786.42x = 9,708,049,289.12
  5. Step 5: Solve for x
    x = 9,708,049,289.12/139,786.42
  6. Step 6: Final answer
    x = 69,449.16

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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.