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Finding the Fourth Proportional to 114,699.90, 171,965.97 and 77,166.66

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Solution

The fourth proportional to 114,699.90, 171,965.97 and 77,166.66 is: 115,693.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,699.90 : 171,965.97 = 77,166.66 : x
  2. Step 2: Convert to fraction form
    114,699.90/171,965.97 = 77,166.66/x
  3. Step 3: Cross multiply
    114,699.90x = 171,965.97 × 77,166.66
  4. Step 4: Simplify right side
    114,699.90x = 13,270,039,538.56
  5. Step 5: Solve for x
    x = 13,270,039,538.56/114,699.90
  6. Step 6: Final answer
    x = 115,693.56

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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.