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Finding the Fourth Proportional to 172,480, 238,022.34 and 97,028.50

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Solution

The fourth proportional to 172,480, 238,022.34 and 97,028.50 is: 133,899.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,480 : 238,022.34 = 97,028.50 : x
  2. Step 2: Convert to fraction form
    172,480/238,022.34 = 97,028.50/x
  3. Step 3: Cross multiply
    172,480x = 238,022.34 × 97,028.50
  4. Step 4: Simplify right side
    172,480x = 23,094,950,616.69
  5. Step 5: Solve for x
    x = 23,094,950,616.69/172,480
  6. Step 6: Final answer
    x = 133,899.30

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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.