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Finding the Fourth Proportional to 103,825.56, 143,289.90 and 63,565.92

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Solution

The fourth proportional to 103,825.56, 143,289.90 and 63,565.92 is: 87,727.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,825.56 : 143,289.90 = 63,565.92 : x
  2. Step 2: Convert to fraction form
    103,825.56/143,289.90 = 63,565.92/x
  3. Step 3: Cross multiply
    103,825.56x = 143,289.90 × 63,565.92
  4. Step 4: Simplify right side
    103,825.56x = 9,108,354,320.21
  5. Step 5: Solve for x
    x = 9,108,354,320.21/103,825.56
  6. Step 6: Final answer
    x = 87,727.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.