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Finding the Fourth Proportional to 132,421.84, 198,632.28 and 53,535.12

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Solution

The fourth proportional to 132,421.84, 198,632.28 and 53,535.12 is: 80,302.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,421.84 : 198,632.28 = 53,535.12 : x
  2. Step 2: Convert to fraction form
    132,421.84/198,632.28 = 53,535.12/x
  3. Step 3: Cross multiply
    132,421.84x = 198,632.28 × 53,535.12
  4. Step 4: Simplify right side
    132,421.84x = 10,633,802,945.67
  5. Step 5: Solve for x
    x = 10,633,802,945.67/132,421.84
  6. Step 6: Final answer
    x = 80,302.49

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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.