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Finding the Fourth Proportional to 52,116.80, 78,178.82 and 20,952

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Solution

The fourth proportional to 52,116.80, 78,178.82 and 20,952 is: 31,429.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,116.80 : 78,178.82 = 20,952 : x
  2. Step 2: Convert to fraction form
    52,116.80/78,178.82 = 20,952/x
  3. Step 3: Cross multiply
    52,116.80x = 78,178.82 × 20,952
  4. Step 4: Simplify right side
    52,116.80x = 1,638,002,636.64
  5. Step 5: Solve for x
    x = 1,638,002,636.64/52,116.80
  6. Step 6: Final answer
    x = 31,429.46

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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.