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Finding the Fourth Proportional to 64,645, 96,967.50 and 20,869

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Solution

The fourth proportional to 64,645, 96,967.50 and 20,869 is: 31,303.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,645 : 96,967.50 = 20,869 : x
  2. Step 2: Convert to fraction form
    64,645/96,967.50 = 20,869/x
  3. Step 3: Cross multiply
    64,645x = 96,967.50 × 20,869
  4. Step 4: Simplify right side
    64,645x = 2,023,614,757.50
  5. Step 5: Solve for x
    x = 2,023,614,757.50/64,645
  6. Step 6: Final answer
    x = 31,303.50

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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.