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Finding the Fourth Proportional to 52,092.80, 71,888.24 and 28,219.40

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Solution

The fourth proportional to 52,092.80, 71,888.24 and 28,219.40 is: 38,942.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,092.80 : 71,888.24 = 28,219.40 : x
  2. Step 2: Convert to fraction form
    52,092.80/71,888.24 = 28,219.40/x
  3. Step 3: Cross multiply
    52,092.80x = 71,888.24 × 28,219.40
  4. Step 4: Simplify right side
    52,092.80x = 2,028,642,999.86
  5. Step 5: Solve for x
    x = 2,028,642,999.86/52,092.80
  6. Step 6: Final answer
    x = 38,942.87

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1.5x scale

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.