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Finding the Fourth Proportional to 219,825.43, 329,777.63 and 77,753.05

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Solution

The fourth proportional to 219,825.43, 329,777.63 and 77,753.05 is: 116,643.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,825.43 : 329,777.63 = 77,753.05 : x
  2. Step 2: Convert to fraction form
    219,825.43/329,777.63 = 77,753.05/x
  3. Step 3: Cross multiply
    219,825.43x = 329,777.63 × 77,753.05
  4. Step 4: Simplify right side
    219,825.43x = 25,641,215,632.64
  5. Step 5: Solve for x
    x = 25,641,215,632.64/219,825.43
  6. Step 6: Final answer
    x = 116,643.54

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1.5x scale

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.