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Finding the Fourth Proportional to 140,563, 210,866.42 and 45,770.79

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Solution

The fourth proportional to 140,563, 210,866.42 and 45,770.79 is: 68,663.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,563 : 210,866.42 = 45,770.79 : x
  2. Step 2: Convert to fraction form
    140,563/210,866.42 = 45,770.79/x
  3. Step 3: Cross multiply
    140,563x = 210,866.42 × 45,770.79
  4. Step 4: Simplify right side
    140,563x = 9,651,522,627.87
  5. Step 5: Solve for x
    x = 9,651,522,627.87/140,563
  6. Step 6: Final answer
    x = 68,663.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.