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Finding the Fourth Proportional to 216,547.54, 324,821.31 and 105,644.50

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Solution

The fourth proportional to 216,547.54, 324,821.31 and 105,644.50 is: 158,466.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,547.54 : 324,821.31 = 105,644.50 : x
  2. Step 2: Convert to fraction form
    216,547.54/324,821.31 = 105,644.50/x
  3. Step 3: Cross multiply
    216,547.54x = 324,821.31 × 105,644.50
  4. Step 4: Simplify right side
    216,547.54x = 34,315,584,884.30
  5. Step 5: Solve for x
    x = 34,315,584,884.30/216,547.54
  6. Step 6: Final answer
    x = 158,466.75

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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.