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Finding the Fourth Proportional to 51,952.78, 77,929.17 and 18,672.92

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Solution

The fourth proportional to 51,952.78, 77,929.17 and 18,672.92 is: 28,009.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,952.78 : 77,929.17 = 18,672.92 : x
  2. Step 2: Convert to fraction form
    51,952.78/77,929.17 = 18,672.92/x
  3. Step 3: Cross multiply
    51,952.78x = 77,929.17 × 18,672.92
  4. Step 4: Simplify right side
    51,952.78x = 1,455,165,157.08
  5. Step 5: Solve for x
    x = 1,455,165,157.08/51,952.78
  6. Step 6: Final answer
    x = 28,009.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.