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Finding the Fourth Proportional to 74,144.97, 102,284.51 and 71,280.54

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Solution

The fourth proportional to 74,144.97, 102,284.51 and 71,280.54 is: 98,332.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,144.97 : 102,284.51 = 71,280.54 : x
  2. Step 2: Convert to fraction form
    74,144.97/102,284.51 = 71,280.54/x
  3. Step 3: Cross multiply
    74,144.97x = 102,284.51 × 71,280.54
  4. Step 4: Simplify right side
    74,144.97x = 7,290,894,750.03
  5. Step 5: Solve for x
    x = 7,290,894,750.03/74,144.97
  6. Step 6: Final answer
    x = 98,332.97

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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.