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Finding the Fourth Proportional to 172,580.42, 258,913.76 and 137,175.32

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Solution

The fourth proportional to 172,580.42, 258,913.76 and 137,175.32 is: 205,797.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,580.42 : 258,913.76 = 137,175.32 : x
  2. Step 2: Convert to fraction form
    172,580.42/258,913.76 = 137,175.32/x
  3. Step 3: Cross multiply
    172,580.42x = 258,913.76 × 137,175.32
  4. Step 4: Simplify right side
    172,580.42x = 35,516,577,880.40
  5. Step 5: Solve for x
    x = 35,516,577,880.40/172,580.42
  6. Step 6: Final answer
    x = 205,797.26

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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.