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Finding the Fourth Proportional to 103,342.32, 155,273.04 and 65,919.60

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Solution

The fourth proportional to 103,342.32, 155,273.04 and 65,919.60 is: 99,044.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,342.32 : 155,273.04 = 65,919.60 : x
  2. Step 2: Convert to fraction form
    103,342.32/155,273.04 = 65,919.60/x
  3. Step 3: Cross multiply
    103,342.32x = 155,273.04 × 65,919.60
  4. Step 4: Simplify right side
    103,342.32x = 10,235,536,687.58
  5. Step 5: Solve for x
    x = 10,235,536,687.58/103,342.32
  6. Step 6: Final answer
    x = 99,044.97

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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.