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Finding the Fourth Proportional to 132,284.80, 198,232.80 and 53,261.20

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Solution

The fourth proportional to 132,284.80, 198,232.80 and 53,261.20 is: 79,813.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,284.80 : 198,232.80 = 53,261.20 : x
  2. Step 2: Convert to fraction form
    132,284.80/198,232.80 = 53,261.20/x
  3. Step 3: Cross multiply
    132,284.80x = 198,232.80 × 53,261.20
  4. Step 4: Simplify right side
    132,284.80x = 10,558,116,807.36
  5. Step 5: Solve for x
    x = 10,558,116,807.36/132,284.80
  6. Step 6: Final answer
    x = 79,813.53

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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.