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Finding the Fourth Proportional to 64,511.56, 96,728.05 and 28,965.98

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Solution

The fourth proportional to 64,511.56, 96,728.05 and 28,965.98 is: 43,431.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,511.56 : 96,728.05 = 28,965.98 : x
  2. Step 2: Convert to fraction form
    64,511.56/96,728.05 = 28,965.98/x
  3. Step 3: Cross multiply
    64,511.56x = 96,728.05 × 28,965.98
  4. Step 4: Simplify right side
    64,511.56x = 2,801,822,686.25
  5. Step 5: Solve for x
    x = 2,801,822,686.25/64,511.56
  6. Step 6: Final answer
    x = 43,431.32

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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.