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Finding the Fourth Proportional to 98,529, 135,973.38 and 53,819.88

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Solution

The fourth proportional to 98,529, 135,973.38 and 53,819.88 is: 74,273.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,529 : 135,973.38 = 53,819.88 : x
  2. Step 2: Convert to fraction form
    98,529/135,973.38 = 53,819.88/x
  3. Step 3: Cross multiply
    98,529x = 135,973.38 × 53,819.88
  4. Step 4: Simplify right side
    98,529x = 7,318,070,994.79
  5. Step 5: Solve for x
    x = 7,318,070,994.79/98,529
  6. Step 6: Final answer
    x = 74,273.27

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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.