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Finding the Fourth Proportional to 145,825.50, 218,777.13 and 71,953.50

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Solution

The fourth proportional to 145,825.50, 218,777.13 and 71,953.50 is: 107,949.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,825.50 : 218,777.13 = 71,953.50 : x
  2. Step 2: Convert to fraction form
    145,825.50/218,777.13 = 71,953.50/x
  3. Step 3: Cross multiply
    145,825.50x = 218,777.13 × 71,953.50
  4. Step 4: Simplify right side
    145,825.50x = 15,741,780,223.46
  5. Step 5: Solve for x
    x = 15,741,780,223.46/145,825.50
  6. Step 6: Final answer
    x = 107,949.43

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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.