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Finding the Fourth Proportional to 49,666.40, 74,470.80 and 18,504.80

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Solution

The fourth proportional to 49,666.40, 74,470.80 and 18,504.80 is: 27,746.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,666.40 : 74,470.80 = 18,504.80 : x
  2. Step 2: Convert to fraction form
    49,666.40/74,470.80 = 18,504.80/x
  3. Step 3: Cross multiply
    49,666.40x = 74,470.80 × 18,504.80
  4. Step 4: Simplify right side
    49,666.40x = 1,378,067,259.84
  5. Step 5: Solve for x
    x = 1,378,067,259.84/49,666.40
  6. Step 6: Final answer
    x = 27,746.47

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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.