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Finding the Fourth Proportional to 172,473, 238,012.68 and 97,021.50

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Solution

The fourth proportional to 172,473, 238,012.68 and 97,021.50 is: 133,889.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,473 : 238,012.68 = 97,021.50 : x
  2. Step 2: Convert to fraction form
    172,473/238,012.68 = 97,021.50/x
  3. Step 3: Cross multiply
    172,473x = 238,012.68 × 97,021.50
  4. Step 4: Simplify right side
    172,473x = 23,092,347,232.62
  5. Step 5: Solve for x
    x = 23,092,347,232.62/172,473
  6. Step 6: Final answer
    x = 133,889.64

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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.