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Finding the Fourth Proportional to 105,914.71, 158,908.47 and 66,425.59

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Solution

The fourth proportional to 105,914.71, 158,908.47 and 66,425.59 is: 99,661.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,914.71 : 158,908.47 = 66,425.59 : x
  2. Step 2: Convert to fraction form
    105,914.71/158,908.47 = 66,425.59/x
  3. Step 3: Cross multiply
    105,914.71x = 158,908.47 × 66,425.59
  4. Step 4: Simplify right side
    105,914.71x = 10,555,588,875.75
  5. Step 5: Solve for x
    x = 10,555,588,875.75/105,914.71
  6. Step 6: Final answer
    x = 99,661.22

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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.