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Finding the Fourth Proportional to 105,686.96, 145,866.52 and 80,277.44

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Solution

The fourth proportional to 105,686.96, 145,866.52 and 80,277.44 is: 110,796.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,686.96 : 145,866.52 = 80,277.44 : x
  2. Step 2: Convert to fraction form
    105,686.96/145,866.52 = 80,277.44/x
  3. Step 3: Cross multiply
    105,686.96x = 145,866.52 × 80,277.44
  4. Step 4: Simplify right side
    105,686.96x = 11,709,790,807.31
  5. Step 5: Solve for x
    x = 11,709,790,807.31/105,686.96
  6. Step 6: Final answer
    x = 110,796.93

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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.