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Finding the Fourth Proportional to 78,394.68, 108,186.39 and 46,563.66

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Solution

The fourth proportional to 78,394.68, 108,186.39 and 46,563.66 is: 64,258.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,394.68 : 108,186.39 = 46,563.66 : x
  2. Step 2: Convert to fraction form
    78,394.68/108,186.39 = 46,563.66/x
  3. Step 3: Cross multiply
    78,394.68x = 108,186.39 × 46,563.66
  4. Step 4: Simplify right side
    78,394.68x = 5,037,554,280.59
  5. Step 5: Solve for x
    x = 5,037,554,280.59/78,394.68
  6. Step 6: Final answer
    x = 64,258.88

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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.