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Finding the Fourth Proportional to 72,930.24, 109,394.88 and 20,340

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Solution

The fourth proportional to 72,930.24, 109,394.88 and 20,340 is: 30,509.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,930.24 : 109,394.88 = 20,340 : x
  2. Step 2: Convert to fraction form
    72,930.24/109,394.88 = 20,340/x
  3. Step 3: Cross multiply
    72,930.24x = 109,394.88 × 20,340
  4. Step 4: Simplify right side
    72,930.24x = 2,225,091,859.20
  5. Step 5: Solve for x
    x = 2,225,091,859.20/72,930.24
  6. Step 6: Final answer
    x = 30,509.87

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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.