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Finding the Fourth Proportional to 49,732.66, 74,566.88 and 21,288.16

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Solution

The fourth proportional to 49,732.66, 74,566.88 and 21,288.16 is: 31,918.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,732.66 : 74,566.88 = 21,288.16 : x
  2. Step 2: Convert to fraction form
    49,732.66/74,566.88 = 21,288.16/x
  3. Step 3: Cross multiply
    49,732.66x = 74,566.88 × 21,288.16
  4. Step 4: Simplify right side
    49,732.66x = 1,587,391,672.14
  5. Step 5: Solve for x
    x = 1,587,391,672.14/49,732.66
  6. Step 6: Final answer
    x = 31,918.50

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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.