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Finding the Fourth Proportional to 78,581.88, 108,423.99 and 46,317.78

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Solution

The fourth proportional to 78,581.88, 108,423.99 and 46,317.78 is: 63,907.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,581.88 : 108,423.99 = 46,317.78 : x
  2. Step 2: Convert to fraction form
    78,581.88/108,423.99 = 46,317.78/x
  3. Step 3: Cross multiply
    78,581.88x = 108,423.99 × 46,317.78
  4. Step 4: Simplify right side
    78,581.88x = 5,021,958,515.54
  5. Step 5: Solve for x
    x = 5,021,958,515.54/78,581.88
  6. Step 6: Final answer
    x = 63,907.33

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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.