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Finding the Fourth Proportional to 175,311.20, 262,966.80 and 121,656.80

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Solution

The fourth proportional to 175,311.20, 262,966.80 and 121,656.80 is: 182,485.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,311.20 : 262,966.80 = 121,656.80 : x
  2. Step 2: Convert to fraction form
    175,311.20/262,966.80 = 121,656.80/x
  3. Step 3: Cross multiply
    175,311.20x = 262,966.80 × 121,656.80
  4. Step 4: Simplify right side
    175,311.20x = 31,991,699,394.24
  5. Step 5: Solve for x
    x = 31,991,699,394.24/175,311.20
  6. Step 6: Final answer
    x = 182,485.20

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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.