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Finding the Fourth Proportional to 64,815, 97,222.50 and 21,039

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Solution

The fourth proportional to 64,815, 97,222.50 and 21,039 is: 31,558.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,815 : 97,222.50 = 21,039 : x
  2. Step 2: Convert to fraction form
    64,815/97,222.50 = 21,039/x
  3. Step 3: Cross multiply
    64,815x = 97,222.50 × 21,039
  4. Step 4: Simplify right side
    64,815x = 2,045,464,177.50
  5. Step 5: Solve for x
    x = 2,045,464,177.50/64,815
  6. Step 6: Final answer
    x = 31,558.50

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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.