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Finding the Fourth Proportional to 285,877.04, 428,513.02 and 96,156.80

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Solution

The fourth proportional to 285,877.04, 428,513.02 and 96,156.80 is: 144,133.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,877.04 : 428,513.02 = 96,156.80 : x
  2. Step 2: Convert to fraction form
    285,877.04/428,513.02 = 96,156.80/x
  3. Step 3: Cross multiply
    285,877.04x = 428,513.02 × 96,156.80
  4. Step 4: Simplify right side
    285,877.04x = 41,204,440,761.54
  5. Step 5: Solve for x
    x = 41,204,440,761.54/285,877.04
  6. Step 6: Final answer
    x = 144,133.44

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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.