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Finding the Fourth Proportional to 85,819.79, 128,698.09 and 29,645.48

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Solution

The fourth proportional to 85,819.79, 128,698.09 and 29,645.48 is: 44,457.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,819.79 : 128,698.09 = 29,645.48 : x
  2. Step 2: Convert to fraction form
    85,819.79/128,698.09 = 29,645.48/x
  3. Step 3: Cross multiply
    85,819.79x = 128,698.09 × 29,645.48
  4. Step 4: Simplify right side
    85,819.79x = 3,815,316,900.76
  5. Step 5: Solve for x
    x = 3,815,316,900.76/85,819.79
  6. Step 6: Final answer
    x = 44,457.31

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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.