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Finding the Fourth Proportional to 105,516.60, 158,347.80 and 75,959.70

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Solution

The fourth proportional to 105,516.60, 158,347.80 and 75,959.70 is: 113,992.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,516.60 : 158,347.80 = 75,959.70 : x
  2. Step 2: Convert to fraction form
    105,516.60/158,347.80 = 75,959.70/x
  3. Step 3: Cross multiply
    105,516.60x = 158,347.80 × 75,959.70
  4. Step 4: Simplify right side
    105,516.60x = 12,028,051,383.66
  5. Step 5: Solve for x
    x = 12,028,051,383.66/105,516.60
  6. Step 6: Final answer
    x = 113,992.03

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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.