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Finding the Fourth Proportional to 96,802, 145,066.80 and 76,992.64

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Solution

The fourth proportional to 96,802, 145,066.80 and 76,992.64 is: 115,380.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,802 : 145,066.80 = 76,992.64 : x
  2. Step 2: Convert to fraction form
    96,802/145,066.80 = 76,992.64/x
  3. Step 3: Cross multiply
    96,802x = 145,066.80 × 76,992.64
  4. Step 4: Simplify right side
    96,802x = 11,169,075,908.35
  5. Step 5: Solve for x
    x = 11,169,075,908.35/96,802
  6. Step 6: Final answer
    x = 115,380.63

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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.