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Finding the Fourth Proportional to 170,469.60, 255,742.80 and 100,312.80

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Solution

The fourth proportional to 170,469.60, 255,742.80 and 100,312.80 is: 150,491.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,469.60 : 255,742.80 = 100,312.80 : x
  2. Step 2: Convert to fraction form
    170,469.60/255,742.80 = 100,312.80/x
  3. Step 3: Cross multiply
    170,469.60x = 255,742.80 × 100,312.80
  4. Step 4: Simplify right side
    170,469.60x = 25,654,276,347.84
  5. Step 5: Solve for x
    x = 25,654,276,347.84/170,469.60
  6. Step 6: Final answer
    x = 150,491.80

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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.