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Finding the Fourth Proportional to 98,138.80, 147,035.40 and 80,513.20

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Solution

The fourth proportional to 98,138.80, 147,035.40 and 80,513.20 is: 120,628.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,138.80 : 147,035.40 = 80,513.20 : x
  2. Step 2: Convert to fraction form
    98,138.80/147,035.40 = 80,513.20/x
  3. Step 3: Cross multiply
    98,138.80x = 147,035.40 × 80,513.20
  4. Step 4: Simplify right side
    98,138.80x = 11,838,290,567.28
  5. Step 5: Solve for x
    x = 11,838,290,567.28/98,138.80
  6. Step 6: Final answer
    x = 120,628.03

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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.