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Finding the Fourth Proportional to 172,938, 238,658.09 and 97,486.50

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Solution

The fourth proportional to 172,938, 238,658.09 and 97,486.50 is: 134,533.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,938 : 238,658.09 = 97,486.50 : x
  2. Step 2: Convert to fraction form
    172,938/238,658.09 = 97,486.50/x
  3. Step 3: Cross multiply
    172,938x = 238,658.09 × 97,486.50
  4. Step 4: Simplify right side
    172,938x = 23,265,941,403.35
  5. Step 5: Solve for x
    x = 23,265,941,403.35/172,938
  6. Step 6: Final answer
    x = 134,533.42

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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.