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Finding the Fourth Proportional to 82,007.80, 123,033.30 and 29,411.80

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Solution

The fourth proportional to 82,007.80, 123,033.30 and 29,411.80 is: 44,125.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,007.80 : 123,033.30 = 29,411.80 : x
  2. Step 2: Convert to fraction form
    82,007.80/123,033.30 = 29,411.80/x
  3. Step 3: Cross multiply
    82,007.80x = 123,033.30 × 29,411.80
  4. Step 4: Simplify right side
    82,007.80x = 3,618,630,812.94
  5. Step 5: Solve for x
    x = 3,618,630,812.94/82,007.80
  6. Step 6: Final answer
    x = 44,125.45

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1.5x scale

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.