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Finding the Fourth Proportional to 103,959.51, 156,202.02 and 99,755.75

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Solution

The fourth proportional to 103,959.51, 156,202.02 and 99,755.75 is: 149,885.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,959.51 : 156,202.02 = 99,755.75 : x
  2. Step 2: Convert to fraction form
    103,959.51/156,202.02 = 99,755.75/x
  3. Step 3: Cross multiply
    103,959.51x = 156,202.02 × 99,755.75
  4. Step 4: Simplify right side
    103,959.51x = 15,582,049,656.62
  5. Step 5: Solve for x
    x = 15,582,049,656.62/103,959.51
  6. Step 6: Final answer
    x = 149,885.76

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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.