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Finding the Fourth Proportional to 52,129.82, 78,194.82 and 12,686.96

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Solution

The fourth proportional to 52,129.82, 78,194.82 and 12,686.96 is: 19,030.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,129.82 : 78,194.82 = 12,686.96 : x
  2. Step 2: Convert to fraction form
    52,129.82/78,194.82 = 12,686.96/x
  3. Step 3: Cross multiply
    52,129.82x = 78,194.82 × 12,686.96
  4. Step 4: Simplify right side
    52,129.82x = 992,054,553.55
  5. Step 5: Solve for x
    x = 992,054,553.55/52,129.82
  6. Step 6: Final answer
    x = 19,030.46

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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.