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Finding the Fourth Proportional to 172,896.12, 238,603.32 and 97,443

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Solution

The fourth proportional to 172,896.12, 238,603.32 and 97,443 is: 134,475.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,896.12 : 238,603.32 = 97,443 : x
  2. Step 2: Convert to fraction form
    172,896.12/238,603.32 = 97,443/x
  3. Step 3: Cross multiply
    172,896.12x = 238,603.32 × 97,443
  4. Step 4: Simplify right side
    172,896.12x = 23,250,223,310.76
  5. Step 5: Solve for x
    x = 23,250,223,310.76/172,896.12
  6. Step 6: Final answer
    x = 134,475.10

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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.