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Finding the Fourth Proportional to 72,822.92, 109,276.82 and 30,700.41

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Solution

The fourth proportional to 72,822.92, 109,276.82 and 30,700.41 is: 46,068.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,822.92 : 109,276.82 = 30,700.41 : x
  2. Step 2: Convert to fraction form
    72,822.92/109,276.82 = 30,700.41/x
  3. Step 3: Cross multiply
    72,822.92x = 109,276.82 × 30,700.41
  4. Step 4: Simplify right side
    72,822.92x = 3,354,843,023.99
  5. Step 5: Solve for x
    x = 3,354,843,023.99/72,822.92
  6. Step 6: Final answer
    x = 46,068.51

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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.