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Finding the Fourth Proportional to 81,605.76, 122,293.76 and 64,891.60

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Solution

The fourth proportional to 81,605.76, 122,293.76 and 64,891.60 is: 97,246.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,605.76 : 122,293.76 = 64,891.60 : x
  2. Step 2: Convert to fraction form
    81,605.76/122,293.76 = 64,891.60/x
  3. Step 3: Cross multiply
    81,605.76x = 122,293.76 × 64,891.60
  4. Step 4: Simplify right side
    81,605.76x = 7,935,837,756.42
  5. Step 5: Solve for x
    x = 7,935,837,756.42/81,605.76
  6. Step 6: Final answer
    x = 97,246.05

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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.