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Finding the Fourth Proportional to 206,135.52, 309,188.16 and 65,856.48

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Solution

The fourth proportional to 206,135.52, 309,188.16 and 65,856.48 is: 98,779.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,135.52 : 309,188.16 = 65,856.48 : x
  2. Step 2: Convert to fraction form
    206,135.52/309,188.16 = 65,856.48/x
  3. Step 3: Cross multiply
    206,135.52x = 309,188.16 × 65,856.48
  4. Step 4: Simplify right side
    206,135.52x = 20,362,043,875.28
  5. Step 5: Solve for x
    x = 20,362,043,875.28/206,135.52
  6. Step 6: Final answer
    x = 98,779.89

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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.