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Finding the Fourth Proportional to 64,825, 97,237.50 and 21,049

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Solution

The fourth proportional to 64,825, 97,237.50 and 21,049 is: 31,573.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,825 : 97,237.50 = 21,049 : x
  2. Step 2: Convert to fraction form
    64,825/97,237.50 = 21,049/x
  3. Step 3: Cross multiply
    64,825x = 97,237.50 × 21,049
  4. Step 4: Simplify right side
    64,825x = 2,046,752,137.50
  5. Step 5: Solve for x
    x = 2,046,752,137.50/64,825
  6. Step 6: Final answer
    x = 31,573.50

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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.