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Finding the Fourth Proportional to 81,600, 122,285.14 and 64,885.86

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Solution

The fourth proportional to 81,600, 122,285.14 and 64,885.86 is: 97,237.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,600 : 122,285.14 = 64,885.86 : x
  2. Step 2: Convert to fraction form
    81,600/122,285.14 = 64,885.86/x
  3. Step 3: Cross multiply
    81,600x = 122,285.14 × 64,885.86
  4. Step 4: Simplify right side
    81,600x = 7,934,575,538.27
  5. Step 5: Solve for x
    x = 7,934,575,538.27/81,600
  6. Step 6: Final answer
    x = 97,237.45

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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.