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Finding the Fourth Proportional to 34,158.92, 47,122.98 and 19,818.68

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Solution

The fourth proportional to 34,158.92, 47,122.98 and 19,818.68 is: 27,340.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,158.92 : 47,122.98 = 19,818.68 : x
  2. Step 2: Convert to fraction form
    34,158.92/47,122.98 = 19,818.68/x
  3. Step 3: Cross multiply
    34,158.92x = 47,122.98 × 19,818.68
  4. Step 4: Simplify right side
    34,158.92x = 933,915,261.27
  5. Step 5: Solve for x
    x = 933,915,261.27/34,158.92
  6. Step 6: Final answer
    x = 27,340.30

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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.