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Finding the Fourth Proportional to 172,478, 238,019.58 and 97,026.50

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Solution

The fourth proportional to 172,478, 238,019.58 and 97,026.50 is: 133,896.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,478 : 238,019.58 = 97,026.50 : x
  2. Step 2: Convert to fraction form
    172,478/238,019.58 = 97,026.50/x
  3. Step 3: Cross multiply
    172,478x = 238,019.58 × 97,026.50
  4. Step 4: Simplify right side
    172,478x = 23,094,206,778.87
  5. Step 5: Solve for x
    x = 23,094,206,778.87/172,478
  6. Step 6: Final answer
    x = 133,896.54

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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.