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Finding the Fourth Proportional to 78,412.66, 117,638.80 and 34,028.62

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Solution

The fourth proportional to 78,412.66, 117,638.80 and 34,028.62 is: 51,051.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,412.66 : 117,638.80 = 34,028.62 : x
  2. Step 2: Convert to fraction form
    78,412.66/117,638.80 = 34,028.62/x
  3. Step 3: Cross multiply
    78,412.66x = 117,638.80 × 34,028.62
  4. Step 4: Simplify right side
    78,412.66x = 4,003,086,022.46
  5. Step 5: Solve for x
    x = 4,003,086,022.46/78,412.66
  6. Step 6: Final answer
    x = 51,051.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.