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Finding the Fourth Proportional to 170,128, 255,106.20 and 99,073.60

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Solution

The fourth proportional to 170,128, 255,106.20 and 99,073.60 is: 148,560.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,128 : 255,106.20 = 99,073.60 : x
  2. Step 2: Convert to fraction form
    170,128/255,106.20 = 99,073.60/x
  3. Step 3: Cross multiply
    170,128x = 255,106.20 × 99,073.60
  4. Step 4: Simplify right side
    170,128x = 25,274,289,616.32
  5. Step 5: Solve for x
    x = 25,274,289,616.32/170,128
  6. Step 6: Final answer
    x = 148,560.43

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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.