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Finding the Fourth Proportional to 52,770.40, 72,822.16 and 28,896.64

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Solution

The fourth proportional to 52,770.40, 72,822.16 and 28,896.64 is: 39,876.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,770.40 : 72,822.16 = 28,896.64 : x
  2. Step 2: Convert to fraction form
    52,770.40/72,822.16 = 28,896.64/x
  3. Step 3: Cross multiply
    52,770.40x = 72,822.16 × 28,896.64
  4. Step 4: Simplify right side
    52,770.40x = 2,104,315,741.54
  5. Step 5: Solve for x
    x = 2,104,315,741.54/52,770.40
  6. Step 6: Final answer
    x = 39,876.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.