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Finding the Fourth Proportional to 139,806.68, 209,632.26 and 46,287.32

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Solution

The fourth proportional to 139,806.68, 209,632.26 and 46,287.32 is: 69,405.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,806.68 : 209,632.26 = 46,287.32 : x
  2. Step 2: Convert to fraction form
    139,806.68/209,632.26 = 46,287.32/x
  3. Step 3: Cross multiply
    139,806.68x = 209,632.26 × 46,287.32
  4. Step 4: Simplify right side
    139,806.68x = 9,703,315,500.94
  5. Step 5: Solve for x
    x = 9,703,315,500.94/139,806.68
  6. Step 6: Final answer
    x = 69,405.24

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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.