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Finding the Fourth Proportional to 140,782.53, 211,129.64 and 45,991.11

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Solution

The fourth proportional to 140,782.53, 211,129.64 and 45,991.11 is: 68,972.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,782.53 : 211,129.64 = 45,991.11 : x
  2. Step 2: Convert to fraction form
    140,782.53/211,129.64 = 45,991.11/x
  3. Step 3: Cross multiply
    140,782.53x = 211,129.64 × 45,991.11
  4. Step 4: Simplify right side
    140,782.53x = 9,710,086,497.50
  5. Step 5: Solve for x
    x = 9,710,086,497.50/140,782.53
  6. Step 6: Final answer
    x = 68,972.24

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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.