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Finding the Fourth Proportional to 78,458.45, 117,687.68 and 46,965.65

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Solution

The fourth proportional to 78,458.45, 117,687.68 and 46,965.65 is: 70,448.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,458.45 : 117,687.68 = 46,965.65 : x
  2. Step 2: Convert to fraction form
    78,458.45/117,687.68 = 46,965.65/x
  3. Step 3: Cross multiply
    78,458.45x = 117,687.68 × 46,965.65
  4. Step 4: Simplify right side
    78,458.45x = 5,527,278,153.36
  5. Step 5: Solve for x
    x = 5,527,278,153.36/78,458.45
  6. Step 6: Final answer
    x = 70,448.48

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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.