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Finding the Fourth Proportional to 170,666.40, 255,416.40 and 149,671.20

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Solution

The fourth proportional to 170,666.40, 255,416.40 and 149,671.20 is: 223,995.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,666.40 : 255,416.40 = 149,671.20 : x
  2. Step 2: Convert to fraction form
    170,666.40/255,416.40 = 149,671.20/x
  3. Step 3: Cross multiply
    170,666.40x = 255,416.40 × 149,671.20
  4. Step 4: Simplify right side
    170,666.40x = 38,228,479,087.68
  5. Step 5: Solve for x
    x = 38,228,479,087.68/170,666.40
  6. Step 6: Final answer
    x = 223,995.34

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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.