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Finding the Fourth Proportional to 49,784.80, 74,590.80 and 42,008.80

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Solution

The fourth proportional to 49,784.80, 74,590.80 and 42,008.80 is: 62,940.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,784.80 : 74,590.80 = 42,008.80 : x
  2. Step 2: Convert to fraction form
    49,784.80/74,590.80 = 42,008.80/x
  3. Step 3: Cross multiply
    49,784.80x = 74,590.80 × 42,008.80
  4. Step 4: Simplify right side
    49,784.80x = 3,133,469,999.04
  5. Step 5: Solve for x
    x = 3,133,469,999.04/49,784.80
  6. Step 6: Final answer
    x = 62,940.30

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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.