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Finding the Fourth Proportional to 105,988.96, 146,203.86 and 66,175.84

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Solution

The fourth proportional to 105,988.96, 146,203.86 and 66,175.84 is: 91,284.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,988.96 : 146,203.86 = 66,175.84 : x
  2. Step 2: Convert to fraction form
    105,988.96/146,203.86 = 66,175.84/x
  3. Step 3: Cross multiply
    105,988.96x = 146,203.86 × 66,175.84
  4. Step 4: Simplify right side
    105,988.96x = 9,675,163,246.74
  5. Step 5: Solve for x
    x = 9,675,163,246.74/105,988.96
  6. Step 6: Final answer
    x = 91,284.63

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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.