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Finding the Fourth Proportional to 172,878, 238,571.64 and 97,429.20

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Solution

The fourth proportional to 172,878, 238,571.64 and 97,429.20 is: 134,452.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,878 : 238,571.64 = 97,429.20 : x
  2. Step 2: Convert to fraction form
    172,878/238,571.64 = 97,429.20/x
  3. Step 3: Cross multiply
    172,878x = 238,571.64 × 97,429.20
  4. Step 4: Simplify right side
    172,878x = 23,243,844,027.89
  5. Step 5: Solve for x
    x = 23,243,844,027.89/172,878
  6. Step 6: Final answer
    x = 134,452.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.