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Finding the Fourth Proportional to 82,783.92, 124,132.88 and 40,645.20

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Solution

The fourth proportional to 82,783.92, 124,132.88 and 40,645.20 is: 60,946.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,783.92 : 124,132.88 = 40,645.20 : x
  2. Step 2: Convert to fraction form
    82,783.92/124,132.88 = 40,645.20/x
  3. Step 3: Cross multiply
    82,783.92x = 124,132.88 × 40,645.20
  4. Step 4: Simplify right side
    82,783.92x = 5,045,405,734.18
  5. Step 5: Solve for x
    x = 5,045,405,734.18/82,783.92
  6. Step 6: Final answer
    x = 60,946.69

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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.