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Finding the Fourth Proportional to 105,735.34, 145,910.46 and 63,268.66

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Solution

The fourth proportional to 105,735.34, 145,910.46 and 63,268.66 is: 87,308.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,735.34 : 145,910.46 = 63,268.66 : x
  2. Step 2: Convert to fraction form
    105,735.34/145,910.46 = 63,268.66/x
  3. Step 3: Cross multiply
    105,735.34x = 145,910.46 × 63,268.66
  4. Step 4: Simplify right side
    105,735.34x = 9,231,559,284.18
  5. Step 5: Solve for x
    x = 9,231,559,284.18/105,735.34
  6. Step 6: Final answer
    x = 87,308.17

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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.