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Finding the Fourth Proportional to 82,770, 124,155.36 and 20,440.50

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Solution

The fourth proportional to 82,770, 124,155.36 and 20,440.50 is: 30,660.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,770 : 124,155.36 = 20,440.50 : x
  2. Step 2: Convert to fraction form
    82,770/124,155.36 = 20,440.50/x
  3. Step 3: Cross multiply
    82,770x = 124,155.36 × 20,440.50
  4. Step 4: Simplify right side
    82,770x = 2,537,797,636.08
  5. Step 5: Solve for x
    x = 2,537,797,636.08/82,770
  6. Step 6: Final answer
    x = 30,660.84

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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.