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Finding the Fourth Proportional to 51,872.34, 77,809.80 and 18,594.72

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Solution

The fourth proportional to 51,872.34, 77,809.80 and 18,594.72 is: 27,892.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,872.34 : 77,809.80 = 18,594.72 : x
  2. Step 2: Convert to fraction form
    51,872.34/77,809.80 = 18,594.72/x
  3. Step 3: Cross multiply
    51,872.34x = 77,809.80 × 18,594.72
  4. Step 4: Simplify right side
    51,872.34x = 1,446,851,444.26
  5. Step 5: Solve for x
    x = 1,446,851,444.26/51,872.34
  6. Step 6: Final answer
    x = 27,892.54

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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.