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Finding the Fourth Proportional to 78,694.63, 108,598.73 and 42,884.64

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Solution

The fourth proportional to 78,694.63, 108,598.73 and 42,884.64 is: 59,180.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,694.63 : 108,598.73 = 42,884.64 : x
  2. Step 2: Convert to fraction form
    78,694.63/108,598.73 = 42,884.64/x
  3. Step 3: Cross multiply
    78,694.63x = 108,598.73 × 42,884.64
  4. Step 4: Simplify right side
    78,694.63x = 4,657,217,226.08
  5. Step 5: Solve for x
    x = 4,657,217,226.08/78,694.63
  6. Step 6: Final answer
    x = 59,180.88

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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.