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Finding the Fourth Proportional to 105,158.85, 145,135.87 and 66,878.49

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Solution

The fourth proportional to 105,158.85, 145,135.87 and 66,878.49 is: 92,302.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,158.85 : 145,135.87 = 66,878.49 : x
  2. Step 2: Convert to fraction form
    105,158.85/145,135.87 = 66,878.49/x
  3. Step 3: Cross multiply
    105,158.85x = 145,135.87 × 66,878.49
  4. Step 4: Simplify right side
    105,158.85x = 9,706,467,104.76
  5. Step 5: Solve for x
    x = 9,706,467,104.76/105,158.85
  6. Step 6: Final answer
    x = 92,302.90

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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.