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Finding the Fourth Proportional to 53,376, 73,665.36 and 31,020

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Solution

The fourth proportional to 53,376, 73,665.36 and 31,020 is: 42,811.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,376 : 73,665.36 = 31,020 : x
  2. Step 2: Convert to fraction form
    53,376/73,665.36 = 31,020/x
  3. Step 3: Cross multiply
    53,376x = 73,665.36 × 31,020
  4. Step 4: Simplify right side
    53,376x = 2,285,099,467.20
  5. Step 5: Solve for x
    x = 2,285,099,467.20/53,376
  6. Step 6: Final answer
    x = 42,811.37

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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.