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Finding the Fourth Proportional to 106,354, 146,770.34 and 68,693.86

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Solution

The fourth proportional to 106,354, 146,770.34 and 68,693.86 is: 94,798.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,354 : 146,770.34 = 68,693.86 : x
  2. Step 2: Convert to fraction form
    106,354/146,770.34 = 68,693.86/x
  3. Step 3: Cross multiply
    106,354x = 146,770.34 × 68,693.86
  4. Step 4: Simplify right side
    106,354x = 10,082,221,188.11
  5. Step 5: Solve for x
    x = 10,082,221,188.11/106,354
  6. Step 6: Final answer
    x = 94,798.70

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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.