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Finding the Fourth Proportional to 105,093.58, 145,187.10 and 68,880.96

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Solution

The fourth proportional to 105,093.58, 145,187.10 and 68,880.96 is: 95,159.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,093.58 : 145,187.10 = 68,880.96 : x
  2. Step 2: Convert to fraction form
    105,093.58/145,187.10 = 68,880.96/x
  3. Step 3: Cross multiply
    105,093.58x = 145,187.10 × 68,880.96
  4. Step 4: Simplify right side
    105,093.58x = 10,000,625,757.28
  5. Step 5: Solve for x
    x = 10,000,625,757.28/105,093.58
  6. Step 6: Final answer
    x = 95,159.25

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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.