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Finding the Fourth Proportional to 64,519, 96,778.50 and 17,771.88

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Solution

The fourth proportional to 64,519, 96,778.50 and 17,771.88 is: 26,657.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,519 : 96,778.50 = 17,771.88 : x
  2. Step 2: Convert to fraction form
    64,519/96,778.50 = 17,771.88/x
  3. Step 3: Cross multiply
    64,519x = 96,778.50 × 17,771.88
  4. Step 4: Simplify right side
    64,519x = 1,719,935,888.58
  5. Step 5: Solve for x
    x = 1,719,935,888.58/64,519
  6. Step 6: Final answer
    x = 26,657.82

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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.