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Finding the Fourth Proportional to 285,987.09, 428,983.09 and 72,755.20

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Solution

The fourth proportional to 285,987.09, 428,983.09 and 72,755.20 is: 109,133.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,987.09 : 428,983.09 = 72,755.20 : x
  2. Step 2: Convert to fraction form
    285,987.09/428,983.09 = 72,755.20/x
  3. Step 3: Cross multiply
    285,987.09x = 428,983.09 × 72,755.20
  4. Step 4: Simplify right side
    285,987.09x = 31,210,750,509.57
  5. Step 5: Solve for x
    x = 31,210,750,509.57/285,987.09
  6. Step 6: Final answer
    x = 109,133.42

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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.