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Finding the Fourth Proportional to 140,655.25, 210,911.10 and 45,824.46

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Solution

The fourth proportional to 140,655.25, 210,911.10 and 45,824.46 is: 68,713.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,655.25 : 210,911.10 = 45,824.46 : x
  2. Step 2: Convert to fraction form
    140,655.25/210,911.10 = 45,824.46/x
  3. Step 3: Cross multiply
    140,655.25x = 210,911.10 × 45,824.46
  4. Step 4: Simplify right side
    140,655.25x = 9,664,887,265.51
  5. Step 5: Solve for x
    x = 9,664,887,265.51/140,655.25
  6. Step 6: Final answer
    x = 68,713.31

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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.