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Finding the Fourth Proportional to 105,890.97, 146,134.31 and 63,448.59

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Solution

The fourth proportional to 105,890.97, 146,134.31 and 63,448.59 is: 87,561.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,890.97 : 146,134.31 = 63,448.59 : x
  2. Step 2: Convert to fraction form
    105,890.97/146,134.31 = 63,448.59/x
  3. Step 3: Cross multiply
    105,890.97x = 146,134.31 × 63,448.59
  4. Step 4: Simplify right side
    105,890.97x = 9,272,015,602.88
  5. Step 5: Solve for x
    x = 9,272,015,602.88/105,890.97
  6. Step 6: Final answer
    x = 87,561.91

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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.