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Finding the Fourth Proportional to 170,603.87, 255,938.61 and 65,414.64

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Solution

The fourth proportional to 170,603.87, 255,938.61 and 65,414.64 is: 98,134.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,603.87 : 255,938.61 = 65,414.64 : x
  2. Step 2: Convert to fraction form
    170,603.87/255,938.61 = 65,414.64/x
  3. Step 3: Cross multiply
    170,603.87x = 255,938.61 × 65,414.64
  4. Step 4: Simplify right side
    170,603.87x = 16,742,132,035.25
  5. Step 5: Solve for x
    x = 16,742,132,035.25/170,603.87
  6. Step 6: Final answer
    x = 98,134.54

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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.