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Finding the Fourth Proportional to 78,462, 108,277.94 and 42,652

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Solution

The fourth proportional to 78,462, 108,277.94 and 42,652 is: 58,859.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,462 : 108,277.94 = 42,652 : x
  2. Step 2: Convert to fraction form
    78,462/108,277.94 = 42,652/x
  3. Step 3: Cross multiply
    78,462x = 108,277.94 × 42,652
  4. Step 4: Simplify right side
    78,462x = 4,618,270,696.88
  5. Step 5: Solve for x
    x = 4,618,270,696.88/78,462
  6. Step 6: Final answer
    x = 58,859.97

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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.