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Finding the Fourth Proportional to 149,132, 223,728.72 and 61,580

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Solution

The fourth proportional to 149,132, 223,728.72 and 61,580 is: 92,382.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,132 : 223,728.72 = 61,580 : x
  2. Step 2: Convert to fraction form
    149,132/223,728.72 = 61,580/x
  3. Step 3: Cross multiply
    149,132x = 223,728.72 × 61,580
  4. Step 4: Simplify right side
    149,132x = 13,777,214,577.60
  5. Step 5: Solve for x
    x = 13,777,214,577.60/149,132
  6. Step 6: Final answer
    x = 92,382.68

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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.