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Finding the Fourth Proportional to 64,652.12, 96,978.20 and 17,905

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Solution

The fourth proportional to 64,652.12, 96,978.20 and 17,905 is: 26,857.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,652.12 : 96,978.20 = 17,905 : x
  2. Step 2: Convert to fraction form
    64,652.12/96,978.20 = 17,905/x
  3. Step 3: Cross multiply
    64,652.12x = 96,978.20 × 17,905
  4. Step 4: Simplify right side
    64,652.12x = 1,736,394,671
  5. Step 5: Solve for x
    x = 1,736,394,671/64,652.12
  6. Step 6: Final answer
    x = 26,857.51

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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.