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Finding the Fourth Proportional to 67,827.70, 93,579.78 and 40,960

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Solution

The fourth proportional to 67,827.70, 93,579.78 and 40,960 is: 56,511.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,827.70 : 93,579.78 = 40,960 : x
  2. Step 2: Convert to fraction form
    67,827.70/93,579.78 = 40,960/x
  3. Step 3: Cross multiply
    67,827.70x = 93,579.78 × 40,960
  4. Step 4: Simplify right side
    67,827.70x = 3,833,027,788.80
  5. Step 5: Solve for x
    x = 3,833,027,788.80/67,827.70
  6. Step 6: Final answer
    x = 56,511.25

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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.