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Finding the Fourth Proportional to 105,682, 145,842.24 and 63,248.80

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Solution

The fourth proportional to 105,682, 145,842.24 and 63,248.80 is: 87,283.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,682 : 145,842.24 = 63,248.80 : x
  2. Step 2: Convert to fraction form
    105,682/145,842.24 = 63,248.80/x
  3. Step 3: Cross multiply
    105,682x = 145,842.24 × 63,248.80
  4. Step 4: Simplify right side
    105,682x = 9,224,346,669.31
  5. Step 5: Solve for x
    x = 9,224,346,669.31/105,682
  6. Step 6: Final answer
    x = 87,283.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.