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Finding the Fourth Proportional to 105,994.64, 158,645.82 and 77,907.26

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Solution

The fourth proportional to 105,994.64, 158,645.82 and 77,907.26 is: 116,606.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,994.64 : 158,645.82 = 77,907.26 : x
  2. Step 2: Convert to fraction form
    105,994.64/158,645.82 = 77,907.26/x
  3. Step 3: Cross multiply
    105,994.64x = 158,645.82 × 77,907.26
  4. Step 4: Simplify right side
    105,994.64x = 12,359,661,146.65
  5. Step 5: Solve for x
    x = 12,359,661,146.65/105,994.64
  6. Step 6: Final answer
    x = 116,606.47

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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.