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Finding the Fourth Proportional to 135,856.40, 203,938.20 and 104,829.20

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Solution

The fourth proportional to 135,856.40, 203,938.20 and 104,829.20 is: 157,362.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,856.40 : 203,938.20 = 104,829.20 : x
  2. Step 2: Convert to fraction form
    135,856.40/203,938.20 = 104,829.20/x
  3. Step 3: Cross multiply
    135,856.40x = 203,938.20 × 104,829.20
  4. Step 4: Simplify right side
    135,856.40x = 21,378,678,355.44
  5. Step 5: Solve for x
    x = 21,378,678,355.44/135,856.40
  6. Step 6: Final answer
    x = 157,362.32

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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.