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Finding the Fourth Proportional to 132,409.12, 198,571.50 and 43,646.08

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Solution

The fourth proportional to 132,409.12, 198,571.50 and 43,646.08 is: 65,455.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,409.12 : 198,571.50 = 43,646.08 : x
  2. Step 2: Convert to fraction form
    132,409.12/198,571.50 = 43,646.08/x
  3. Step 3: Cross multiply
    132,409.12x = 198,571.50 × 43,646.08
  4. Step 4: Simplify right side
    132,409.12x = 8,666,867,574.72
  5. Step 5: Solve for x
    x = 8,666,867,574.72/132,409.12
  6. Step 6: Final answer
    x = 65,455.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.