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Finding the Fourth Proportional to 172,644.21, 238,285.78 and 116,022.78

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Solution

The fourth proportional to 172,644.21, 238,285.78 and 116,022.78 is: 160,136.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,644.21 : 238,285.78 = 116,022.78 : x
  2. Step 2: Convert to fraction form
    172,644.21/238,285.78 = 116,022.78/x
  3. Step 3: Cross multiply
    172,644.21x = 238,285.78 × 116,022.78
  4. Step 4: Simplify right side
    172,644.21x = 27,646,578,645.67
  5. Step 5: Solve for x
    x = 27,646,578,645.67/172,644.21
  6. Step 6: Final answer
    x = 160,136.14

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1.5x scale

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.