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Finding the Fourth Proportional to 135,904.60, 203,856.90 and 98,385.40

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Solution

The fourth proportional to 135,904.60, 203,856.90 and 98,385.40 is: 147,578.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,904.60 : 203,856.90 = 98,385.40 : x
  2. Step 2: Convert to fraction form
    135,904.60/203,856.90 = 98,385.40/x
  3. Step 3: Cross multiply
    135,904.60x = 203,856.90 × 98,385.40
  4. Step 4: Simplify right side
    135,904.60x = 20,056,542,649.26
  5. Step 5: Solve for x
    x = 20,056,542,649.26/135,904.60
  6. Step 6: Final answer
    x = 147,578.10

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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.