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Finding the Fourth Proportional to 158,405.94, 218,421.09 and 100,968.66

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Solution

The fourth proportional to 158,405.94, 218,421.09 and 100,968.66 is: 139,222.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,405.94 : 218,421.09 = 100,968.66 : x
  2. Step 2: Convert to fraction form
    158,405.94/218,421.09 = 100,968.66/x
  3. Step 3: Cross multiply
    158,405.94x = 218,421.09 × 100,968.66
  4. Step 4: Simplify right side
    158,405.94x = 22,053,684,773.04
  5. Step 5: Solve for x
    x = 22,053,684,773.04/158,405.94
  6. Step 6: Final answer
    x = 139,222.59

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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.