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Finding the Fourth Proportional to 78,296.94, 108,049.65 and 42,486.96

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Solution

The fourth proportional to 78,296.94, 108,049.65 and 42,486.96 is: 58,631.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,296.94 : 108,049.65 = 42,486.96 : x
  2. Step 2: Convert to fraction form
    78,296.94/108,049.65 = 42,486.96/x
  3. Step 3: Cross multiply
    78,296.94x = 108,049.65 × 42,486.96
  4. Step 4: Simplify right side
    78,296.94x = 4,590,701,157.56
  5. Step 5: Solve for x
    x = 4,590,701,157.56/78,296.94
  6. Step 6: Final answer
    x = 58,631.94

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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.