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Finding the Fourth Proportional to 216,565.97, 324,904.32 and 90,164.20

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Solution

The fourth proportional to 216,565.97, 324,904.32 and 90,164.20 is: 135,269.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,565.97 : 324,904.32 = 90,164.20 : x
  2. Step 2: Convert to fraction form
    216,565.97/324,904.32 = 90,164.20/x
  3. Step 3: Cross multiply
    216,565.97x = 324,904.32 × 90,164.20
  4. Step 4: Simplify right side
    216,565.97x = 29,294,738,089.34
  5. Step 5: Solve for x
    x = 29,294,738,089.34/216,565.97
  6. Step 6: Final answer
    x = 135,269.35

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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.