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Finding the Fourth Proportional to 66,281.65, 99,428.01 and 28,843

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Solution

The fourth proportional to 66,281.65, 99,428.01 and 28,843 is: 43,266.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,281.65 : 99,428.01 = 28,843 : x
  2. Step 2: Convert to fraction form
    66,281.65/99,428.01 = 28,843/x
  3. Step 3: Cross multiply
    66,281.65x = 99,428.01 × 28,843
  4. Step 4: Simplify right side
    66,281.65x = 2,867,802,092.43
  5. Step 5: Solve for x
    x = 2,867,802,092.43/66,281.65
  6. Step 6: Final answer
    x = 43,266.91

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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.