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Finding the Fourth Proportional to 166,464, 229,720.32 and 91,012.50

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Solution

The fourth proportional to 166,464, 229,720.32 and 91,012.50 is: 125,597.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,464 : 229,720.32 = 91,012.50 : x
  2. Step 2: Convert to fraction form
    166,464/229,720.32 = 91,012.50/x
  3. Step 3: Cross multiply
    166,464x = 229,720.32 × 91,012.50
  4. Step 4: Simplify right side
    166,464x = 20,907,420,624
  5. Step 5: Solve for x
    x = 20,907,420,624/166,464
  6. Step 6: Final answer
    x = 125,597.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.