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Finding the Fourth Proportional to 51,495.96, 77,251.86 and 21,905.86

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Solution

The fourth proportional to 51,495.96, 77,251.86 and 21,905.86 is: 32,862.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,495.96 : 77,251.86 = 21,905.86 : x
  2. Step 2: Convert to fraction form
    51,495.96/77,251.86 = 21,905.86/x
  3. Step 3: Cross multiply
    51,495.96x = 77,251.86 × 21,905.86
  4. Step 4: Simplify right side
    51,495.96x = 1,692,268,429.90
  5. Step 5: Solve for x
    x = 1,692,268,429.90/51,495.96
  6. Step 6: Final answer
    x = 32,862.16

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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.