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Finding the Fourth Proportional to 132,480, 198,777.60 and 65,986.56

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Solution

The fourth proportional to 132,480, 198,777.60 and 65,986.56 is: 99,008.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,480 : 198,777.60 = 65,986.56 : x
  2. Step 2: Convert to fraction form
    132,480/198,777.60 = 65,986.56/x
  3. Step 3: Cross multiply
    132,480x = 198,777.60 × 65,986.56
  4. Step 4: Simplify right side
    132,480x = 13,116,650,029.06
  5. Step 5: Solve for x
    x = 13,116,650,029.06/132,480
  6. Step 6: Final answer
    x = 99,008.53

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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.