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Finding the Fourth Proportional to 170,578.77, 255,864.65 and 75,783.25

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Solution

The fourth proportional to 170,578.77, 255,864.65 and 75,783.25 is: 113,673.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,578.77 : 255,864.65 = 75,783.25 : x
  2. Step 2: Convert to fraction form
    170,578.77/255,864.65 = 75,783.25/x
  3. Step 3: Cross multiply
    170,578.77x = 255,864.65 × 75,783.25
  4. Step 4: Simplify right side
    170,578.77x = 19,390,255,104.31
  5. Step 5: Solve for x
    x = 19,390,255,104.31/170,578.77
  6. Step 6: Final answer
    x = 113,673.32

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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.