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Finding the Fourth Proportional to 78,694.68, 108,595.90 and 42,883.96

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Solution

The fourth proportional to 78,694.68, 108,595.90 and 42,883.96 is: 59,178.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,694.68 : 108,595.90 = 42,883.96 : x
  2. Step 2: Convert to fraction form
    78,694.68/108,595.90 = 42,883.96/x
  3. Step 3: Cross multiply
    78,694.68x = 108,595.90 × 42,883.96
  4. Step 4: Simplify right side
    78,694.68x = 4,657,022,231.76
  5. Step 5: Solve for x
    x = 4,657,022,231.76/78,694.68
  6. Step 6: Final answer
    x = 59,178.36

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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.