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Finding the Fourth Proportional to 52,770.31, 72,823.12 and 28,571.51

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Solution

The fourth proportional to 52,770.31, 72,823.12 and 28,571.51 is: 39,428.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,770.31 : 72,823.12 = 28,571.51 : x
  2. Step 2: Convert to fraction form
    52,770.31/72,823.12 = 28,571.51/x
  3. Step 3: Cross multiply
    52,770.31x = 72,823.12 × 28,571.51
  4. Step 4: Simplify right side
    52,770.31x = 2,080,666,611.94
  5. Step 5: Solve for x
    x = 2,080,666,611.94/52,770.31
  6. Step 6: Final answer
    x = 39,428.74

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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.