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Finding the Fourth Proportional to 52,202.88, 78,304.32 and 12,759.96

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Solution

The fourth proportional to 52,202.88, 78,304.32 and 12,759.96 is: 19,139.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,202.88 : 78,304.32 = 12,759.96 : x
  2. Step 2: Convert to fraction form
    52,202.88/78,304.32 = 12,759.96/x
  3. Step 3: Cross multiply
    52,202.88x = 78,304.32 × 12,759.96
  4. Step 4: Simplify right side
    52,202.88x = 999,159,991.03
  5. Step 5: Solve for x
    x = 999,159,991.03/52,202.88
  6. Step 6: Final answer
    x = 19,139.94

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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.