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Finding the Fourth Proportional to 154,322.55, 231,975.90 and 145,465.20

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Solution

The fourth proportional to 154,322.55, 231,975.90 and 145,465.20 is: 218,661.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,322.55 : 231,975.90 = 145,465.20 : x
  2. Step 2: Convert to fraction form
    154,322.55/231,975.90 = 145,465.20/x
  3. Step 3: Cross multiply
    154,322.55x = 231,975.90 × 145,465.20
  4. Step 4: Simplify right side
    154,322.55x = 33,744,420,688.68
  5. Step 5: Solve for x
    x = 33,744,420,688.68/154,322.55
  6. Step 6: Final answer
    x = 218,661.63

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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.