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Finding the Fourth Proportional to 81,602, 122,288.14 and 64,887.86

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Solution

The fourth proportional to 81,602, 122,288.14 and 64,887.86 is: 97,240.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,602 : 122,288.14 = 64,887.86 : x
  2. Step 2: Convert to fraction form
    81,602/122,288.14 = 64,887.86/x
  3. Step 3: Cross multiply
    81,602x = 122,288.14 × 64,887.86
  4. Step 4: Simplify right side
    81,602x = 7,935,015,707.98
  5. Step 5: Solve for x
    x = 7,935,015,707.98/81,602
  6. Step 6: Final answer
    x = 97,240.46

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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.