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Finding the Fourth Proportional to 75,285.73, 103,633.51 and 65,072.06

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Solution

The fourth proportional to 75,285.73, 103,633.51 and 65,072.06 is: 89,574.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,285.73 : 103,633.51 = 65,072.06 : x
  2. Step 2: Convert to fraction form
    75,285.73/103,633.51 = 65,072.06/x
  3. Step 3: Cross multiply
    75,285.73x = 103,633.51 × 65,072.06
  4. Step 4: Simplify right side
    75,285.73x = 6,743,645,980.73
  5. Step 5: Solve for x
    x = 6,743,645,980.73/75,285.73
  6. Step 6: Final answer
    x = 89,574.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.