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Finding the Fourth Proportional to 61,764.65, 92,646 and 19,644.12

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Solution

The fourth proportional to 61,764.65, 92,646 and 19,644.12 is: 29,465.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,764.65 : 92,646 = 19,644.12 : x
  2. Step 2: Convert to fraction form
    61,764.65/92,646 = 19,644.12/x
  3. Step 3: Cross multiply
    61,764.65x = 92,646 × 19,644.12
  4. Step 4: Simplify right side
    61,764.65x = 1,819,949,141.52
  5. Step 5: Solve for x
    x = 1,819,949,141.52/61,764.65
  6. Step 6: Final answer
    x = 29,465.87

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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.