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Finding the Fourth Proportional to 72,780.20, 109,104.30 and 26,022.20

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Solution

The fourth proportional to 72,780.20, 109,104.30 and 26,022.20 is: 39,009.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,780.20 : 109,104.30 = 26,022.20 : x
  2. Step 2: Convert to fraction form
    72,780.20/109,104.30 = 26,022.20/x
  3. Step 3: Cross multiply
    72,780.20x = 109,104.30 × 26,022.20
  4. Step 4: Simplify right side
    72,780.20x = 2,839,133,915.46
  5. Step 5: Solve for x
    x = 2,839,133,915.46/72,780.20
  6. Step 6: Final answer
    x = 39,009.70

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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.