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Finding the Fourth Proportional to 105,687.58, 158,485.29 and 39,977.50

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Solution

The fourth proportional to 105,687.58, 158,485.29 and 39,977.50 is: 59,948.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,687.58 : 158,485.29 = 39,977.50 : x
  2. Step 2: Convert to fraction form
    105,687.58/158,485.29 = 39,977.50/x
  3. Step 3: Cross multiply
    105,687.58x = 158,485.29 × 39,977.50
  4. Step 4: Simplify right side
    105,687.58x = 6,335,845,680.98
  5. Step 5: Solve for x
    x = 6,335,845,680.98/105,687.58
  6. Step 6: Final answer
    x = 59,948.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.