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Finding the Fourth Proportional to 103,865.80, 155,798.60 and 24,980

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Solution

The fourth proportional to 103,865.80, 155,798.60 and 24,980 is: 37,469.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,865.80 : 155,798.60 = 24,980 : x
  2. Step 2: Convert to fraction form
    103,865.80/155,798.60 = 24,980/x
  3. Step 3: Cross multiply
    103,865.80x = 155,798.60 × 24,980
  4. Step 4: Simplify right side
    103,865.80x = 3,891,849,028
  5. Step 5: Solve for x
    x = 3,891,849,028/103,865.80
  6. Step 6: Final answer
    x = 37,469.98

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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.