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Finding the Fourth Proportional to 64,560, 89,097.66 and 39,414.36

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Solution

The fourth proportional to 64,560, 89,097.66 and 39,414.36 is: 54,394.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,560 : 89,097.66 = 39,414.36 : x
  2. Step 2: Convert to fraction form
    64,560/89,097.66 = 39,414.36/x
  3. Step 3: Cross multiply
    64,560x = 89,097.66 × 39,414.36
  4. Step 4: Simplify right side
    64,560x = 3,511,727,246.40
  5. Step 5: Solve for x
    x = 3,511,727,246.40/64,560
  6. Step 6: Final answer
    x = 54,394.78

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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.