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Finding the Fourth Proportional to 115,212, 159,000.60 and 64,911.12

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Solution

The fourth proportional to 115,212, 159,000.60 and 64,911.12 is: 89,581.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,212 : 159,000.60 = 64,911.12 : x
  2. Step 2: Convert to fraction form
    115,212/159,000.60 = 64,911.12/x
  3. Step 3: Cross multiply
    115,212x = 159,000.60 × 64,911.12
  4. Step 4: Simplify right side
    115,212x = 10,320,907,026.67
  5. Step 5: Solve for x
    x = 10,320,907,026.67/115,212
  6. Step 6: Final answer
    x = 89,581.88

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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.