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Finding the Fourth Proportional to 78,690.56, 108,593.44 and 46,860.80

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Solution

The fourth proportional to 78,690.56, 108,593.44 and 46,860.80 is: 64,668.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,690.56 : 108,593.44 = 46,860.80 : x
  2. Step 2: Convert to fraction form
    78,690.56/108,593.44 = 46,860.80/x
  3. Step 3: Cross multiply
    78,690.56x = 108,593.44 × 46,860.80
  4. Step 4: Simplify right side
    78,690.56x = 5,088,775,473.15
  5. Step 5: Solve for x
    x = 5,088,775,473.15/78,690.56
  6. Step 6: Final answer
    x = 64,668.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.