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Finding the Fourth Proportional to 170,459.60, 255,727.80 and 100,302.80

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Solution

The fourth proportional to 170,459.60, 255,727.80 and 100,302.80 is: 150,476.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,459.60 : 255,727.80 = 100,302.80 : x
  2. Step 2: Convert to fraction form
    170,459.60/255,727.80 = 100,302.80/x
  3. Step 3: Cross multiply
    170,459.60x = 255,727.80 × 100,302.80
  4. Step 4: Simplify right side
    170,459.60x = 25,650,214,377.84
  5. Step 5: Solve for x
    x = 25,650,214,377.84/170,459.60
  6. Step 6: Final answer
    x = 150,476.80

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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.