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Finding the Fourth Proportional to 81,511.20, 122,261.76 and 28,913.76

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Solution

The fourth proportional to 81,511.20, 122,261.76 and 28,913.76 is: 43,368.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,511.20 : 122,261.76 = 28,913.76 : x
  2. Step 2: Convert to fraction form
    81,511.20/122,261.76 = 28,913.76/x
  3. Step 3: Cross multiply
    81,511.20x = 122,261.76 × 28,913.76
  4. Step 4: Simplify right side
    81,511.20x = 3,535,047,185.82
  5. Step 5: Solve for x
    x = 3,535,047,185.82/81,511.20
  6. Step 6: Final answer
    x = 43,368.85

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1.5x scale

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.