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Finding the Fourth Proportional to 92,471.57, 138,707.94 and 30,142.07

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Solution

The fourth proportional to 92,471.57, 138,707.94 and 30,142.07 is: 45,213.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,471.57 : 138,707.94 = 30,142.07 : x
  2. Step 2: Convert to fraction form
    92,471.57/138,707.94 = 30,142.07/x
  3. Step 3: Cross multiply
    92,471.57x = 138,707.94 × 30,142.07
  4. Step 4: Simplify right side
    92,471.57x = 4,180,943,743.50
  5. Step 5: Solve for x
    x = 4,180,943,743.50/92,471.57
  6. Step 6: Final answer
    x = 45,213.29

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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.