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Finding the Fourth Proportional to 179,782.80, 269,253.72 and 142,089.90

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Solution

The fourth proportional to 179,782.80, 269,253.72 and 142,089.90 is: 212,802.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,782.80 : 269,253.72 = 142,089.90 : x
  2. Step 2: Convert to fraction form
    179,782.80/269,253.72 = 142,089.90/x
  3. Step 3: Cross multiply
    179,782.80x = 269,253.72 × 142,089.90
  4. Step 4: Simplify right side
    179,782.80x = 38,258,234,149.43
  5. Step 5: Solve for x
    x = 38,258,234,149.43/179,782.80
  6. Step 6: Final answer
    x = 212,802.53

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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.