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Finding the Fourth Proportional to 53,155, 79,732.50 and 21,991

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Solution

The fourth proportional to 53,155, 79,732.50 and 21,991 is: 32,986.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,155 : 79,732.50 = 21,991 : x
  2. Step 2: Convert to fraction form
    53,155/79,732.50 = 21,991/x
  3. Step 3: Cross multiply
    53,155x = 79,732.50 × 21,991
  4. Step 4: Simplify right side
    53,155x = 1,753,397,407.50
  5. Step 5: Solve for x
    x = 1,753,397,407.50/53,155
  6. Step 6: Final answer
    x = 32,986.50

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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.