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Finding the Fourth Proportional to 103,297.50, 155,029.29 and 53,392.22

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Solution

The fourth proportional to 103,297.50, 155,029.29 and 53,392.22 is: 80,131.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,297.50 : 155,029.29 = 53,392.22 : x
  2. Step 2: Convert to fraction form
    103,297.50/155,029.29 = 53,392.22/x
  3. Step 3: Cross multiply
    103,297.50x = 155,029.29 × 53,392.22
  4. Step 4: Simplify right side
    103,297.50x = 8,277,356,982.76
  5. Step 5: Solve for x
    x = 8,277,356,982.76/103,297.50
  6. Step 6: Final answer
    x = 80,131.25

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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.