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Finding the Fourth Proportional to 78,391.80, 108,183.60 and 46,565.28

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Solution

The fourth proportional to 78,391.80, 108,183.60 and 46,565.28 is: 64,261.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,391.80 : 108,183.60 = 46,565.28 : x
  2. Step 2: Convert to fraction form
    78,391.80/108,183.60 = 46,565.28/x
  3. Step 3: Cross multiply
    78,391.80x = 108,183.60 × 46,565.28
  4. Step 4: Simplify right side
    78,391.80x = 5,037,599,625.41
  5. Step 5: Solve for x
    x = 5,037,599,625.41/78,391.80
  6. Step 6: Final answer
    x = 64,261.82

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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.