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Finding the Fourth Proportional to 52,675.30, 78,976.04 and 19,391.03

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Solution

The fourth proportional to 52,675.30, 78,976.04 and 19,391.03 is: 29,072.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,675.30 : 78,976.04 = 19,391.03 : x
  2. Step 2: Convert to fraction form
    52,675.30/78,976.04 = 19,391.03/x
  3. Step 3: Cross multiply
    52,675.30x = 78,976.04 × 19,391.03
  4. Step 4: Simplify right side
    52,675.30x = 1,531,426,565.25
  5. Step 5: Solve for x
    x = 1,531,426,565.25/52,675.30
  6. Step 6: Final answer
    x = 29,072.95

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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.