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Finding the Fourth Proportional to 64,826, 97,239 and 21,050

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Solution

The fourth proportional to 64,826, 97,239 and 21,050 is: 31,575

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,826 : 97,239 = 21,050 : x
  2. Step 2: Convert to fraction form
    64,826/97,239 = 21,050/x
  3. Step 3: Cross multiply
    64,826x = 97,239 × 21,050
  4. Step 4: Simplify right side
    64,826x = 2,046,880,950
  5. Step 5: Solve for x
    x = 2,046,880,950/64,826
  6. Step 6: Final answer
    x = 31,575

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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.