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Finding the Fourth Proportional to 100,697.50, 138,963.23 and 55,374.09

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Solution

The fourth proportional to 100,697.50, 138,963.23 and 55,374.09 is: 76,416.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,697.50 : 138,963.23 = 55,374.09 : x
  2. Step 2: Convert to fraction form
    100,697.50/138,963.23 = 55,374.09/x
  3. Step 3: Cross multiply
    100,697.50x = 138,963.23 × 55,374.09
  4. Step 4: Simplify right side
    100,697.50x = 7,694,962,404.71
  5. Step 5: Solve for x
    x = 7,694,962,404.71/100,697.50
  6. Step 6: Final answer
    x = 76,416.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.