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Finding the Fourth Proportional to 92,098, 138,147 and 29,768.50

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Solution

The fourth proportional to 92,098, 138,147 and 29,768.50 is: 44,652.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,098 : 138,147 = 29,768.50 : x
  2. Step 2: Convert to fraction form
    92,098/138,147 = 29,768.50/x
  3. Step 3: Cross multiply
    92,098x = 138,147 × 29,768.50
  4. Step 4: Simplify right side
    92,098x = 4,112,428,969.50
  5. Step 5: Solve for x
    x = 4,112,428,969.50/92,098
  6. Step 6: Final answer
    x = 44,652.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.