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Finding the Fourth Proportional to 203,492.80, 305,023.20 and 98,243.20

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Solution

The fourth proportional to 203,492.80, 305,023.20 and 98,243.20 is: 147,260.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,492.80 : 305,023.20 = 98,243.20 : x
  2. Step 2: Convert to fraction form
    203,492.80/305,023.20 = 98,243.20/x
  3. Step 3: Cross multiply
    203,492.80x = 305,023.20 × 98,243.20
  4. Step 4: Simplify right side
    203,492.80x = 29,966,455,242.24
  5. Step 5: Solve for x
    x = 29,966,455,242.24/203,492.80
  6. Step 6: Final answer
    x = 147,260.52

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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.