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Finding the Fourth Proportional to 145,682.57, 218,523.53 and 45,851.49

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Solution

The fourth proportional to 145,682.57, 218,523.53 and 45,851.49 is: 68,777.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,682.57 : 218,523.53 = 45,851.49 : x
  2. Step 2: Convert to fraction form
    145,682.57/218,523.53 = 45,851.49/x
  3. Step 3: Cross multiply
    145,682.57x = 218,523.53 × 45,851.49
  4. Step 4: Simplify right side
    145,682.57x = 10,019,628,357.94
  5. Step 5: Solve for x
    x = 10,019,628,357.94/145,682.57
  6. Step 6: Final answer
    x = 68,777.13

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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.