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Finding the Fourth Proportional to 52,704.28, 72,731.31 and 28,830.66

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Solution

The fourth proportional to 52,704.28, 72,731.31 and 28,830.66 is: 39,785.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,704.28 : 72,731.31 = 28,830.66 : x
  2. Step 2: Convert to fraction form
    52,704.28/72,731.31 = 28,830.66/x
  3. Step 3: Cross multiply
    52,704.28x = 72,731.31 × 28,830.66
  4. Step 4: Simplify right side
    52,704.28x = 2,096,891,669.96
  5. Step 5: Solve for x
    x = 2,096,891,669.96/52,704.28
  6. Step 6: Final answer
    x = 39,785.99

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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.