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Finding the Fourth Proportional to 170,416.80, 255,433.20 and 81,712.80

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Solution

The fourth proportional to 170,416.80, 255,433.20 and 81,712.80 is: 122,477.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,416.80 : 255,433.20 = 81,712.80 : x
  2. Step 2: Convert to fraction form
    170,416.80/255,433.20 = 81,712.80/x
  3. Step 3: Cross multiply
    170,416.80x = 255,433.20 × 81,712.80
  4. Step 4: Simplify right side
    170,416.80x = 20,872,161,984.96
  5. Step 5: Solve for x
    x = 20,872,161,984.96/170,416.80
  6. Step 6: Final answer
    x = 122,477.14

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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.