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Finding the Fourth Proportional to 285,878.04, 428,514.52 and 96,157.80

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Solution

The fourth proportional to 285,878.04, 428,514.52 and 96,157.80 is: 144,134.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,878.04 : 428,514.52 = 96,157.80 : x
  2. Step 2: Convert to fraction form
    285,878.04/428,514.52 = 96,157.80/x
  3. Step 3: Cross multiply
    285,878.04x = 428,514.52 × 96,157.80
  4. Step 4: Simplify right side
    285,878.04x = 41,205,013,511.26
  5. Step 5: Solve for x
    x = 41,205,013,511.26/285,878.04
  6. Step 6: Final answer
    x = 144,134.94

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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.