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Finding the Fourth Proportional to 169,909.20, 254,855.70 and 57,578.40

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Solution

The fourth proportional to 169,909.20, 254,855.70 and 57,578.40 is: 86,364.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,909.20 : 254,855.70 = 57,578.40 : x
  2. Step 2: Convert to fraction form
    169,909.20/254,855.70 = 57,578.40/x
  3. Step 3: Cross multiply
    169,909.20x = 254,855.70 × 57,578.40
  4. Step 4: Simplify right side
    169,909.20x = 14,674,183,436.88
  5. Step 5: Solve for x
    x = 14,674,183,436.88/169,909.20
  6. Step 6: Final answer
    x = 86,364.86

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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.