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Finding the Fourth Proportional to 55,700.28, 76,872 and 31,830.48

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Solution

The fourth proportional to 55,700.28, 76,872 and 31,830.48 is: 43,929.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,700.28 : 76,872 = 31,830.48 : x
  2. Step 2: Convert to fraction form
    55,700.28/76,872 = 31,830.48/x
  3. Step 3: Cross multiply
    55,700.28x = 76,872 × 31,830.48
  4. Step 4: Simplify right side
    55,700.28x = 2,446,872,658.56
  5. Step 5: Solve for x
    x = 2,446,872,658.56/55,700.28
  6. Step 6: Final answer
    x = 43,929.27

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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.