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Finding the Fourth Proportional to 135,030.30, 202,415.85 and 105,027.90

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Solution

The fourth proportional to 135,030.30, 202,415.85 and 105,027.90 is: 157,441.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,030.30 : 202,415.85 = 105,027.90 : x
  2. Step 2: Convert to fraction form
    135,030.30/202,415.85 = 105,027.90/x
  3. Step 3: Cross multiply
    135,030.30x = 202,415.85 × 105,027.90
  4. Step 4: Simplify right side
    135,030.30x = 21,259,311,652.22
  5. Step 5: Solve for x
    x = 21,259,311,652.22/135,030.30
  6. Step 6: Final answer
    x = 157,441.05

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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.