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Finding the Fourth Proportional to 145,410.81, 218,115.87 and 45,578.61

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Solution

The fourth proportional to 145,410.81, 218,115.87 and 45,578.61 is: 68,367.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,410.81 : 218,115.87 = 45,578.61 : x
  2. Step 2: Convert to fraction form
    145,410.81/218,115.87 = 45,578.61/x
  3. Step 3: Cross multiply
    145,410.81x = 218,115.87 × 45,578.61
  4. Step 4: Simplify right side
    145,410.81x = 9,941,418,173.54
  5. Step 5: Solve for x
    x = 9,941,418,173.54/145,410.81
  6. Step 6: Final answer
    x = 68,367.81

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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.