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Finding the Fourth Proportional to 52,382.94, 72,288.24 and 28,509.78

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Solution

The fourth proportional to 52,382.94, 72,288.24 and 28,509.78 is: 39,343.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,382.94 : 72,288.24 = 28,509.78 : x
  2. Step 2: Convert to fraction form
    52,382.94/72,288.24 = 28,509.78/x
  3. Step 3: Cross multiply
    52,382.94x = 72,288.24 × 28,509.78
  4. Step 4: Simplify right side
    52,382.94x = 2,060,921,818.99
  5. Step 5: Solve for x
    x = 2,060,921,818.99/52,382.94
  6. Step 6: Final answer
    x = 39,343.38

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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.