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Finding the Fourth Proportional to 139,657.20, 209,494.44 and 69,465.84

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Solution

The fourth proportional to 139,657.20, 209,494.44 and 69,465.84 is: 104,203.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,657.20 : 209,494.44 = 69,465.84 : x
  2. Step 2: Convert to fraction form
    139,657.20/209,494.44 = 69,465.84/x
  3. Step 3: Cross multiply
    139,657.20x = 209,494.44 × 69,465.84
  4. Step 4: Simplify right side
    139,657.20x = 14,552,707,249.93
  5. Step 5: Solve for x
    x = 14,552,707,249.93/139,657.20
  6. Step 6: Final answer
    x = 104,203.06

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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.