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Finding the Fourth Proportional to 105,735.66, 145,914.92 and 60,427.71

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Solution

The fourth proportional to 105,735.66, 145,914.92 and 60,427.71 is: 83,390.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,735.66 : 145,914.92 = 60,427.71 : x
  2. Step 2: Convert to fraction form
    105,735.66/145,914.92 = 60,427.71/x
  3. Step 3: Cross multiply
    105,735.66x = 145,914.92 × 60,427.71
  4. Step 4: Simplify right side
    105,735.66x = 8,817,304,187.62
  5. Step 5: Solve for x
    x = 8,817,304,187.62/105,735.66
  6. Step 6: Final answer
    x = 83,390.07

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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.