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Finding the Fourth Proportional to 52,669.92, 78,921.84 and 19,344

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Solution

The fourth proportional to 52,669.92, 78,921.84 and 19,344 is: 28,985.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,669.92 : 78,921.84 = 19,344 : x
  2. Step 2: Convert to fraction form
    52,669.92/78,921.84 = 19,344/x
  3. Step 3: Cross multiply
    52,669.92x = 78,921.84 × 19,344
  4. Step 4: Simplify right side
    52,669.92x = 1,526,664,072.96
  5. Step 5: Solve for x
    x = 1,526,664,072.96/52,669.92
  6. Step 6: Final answer
    x = 28,985.50

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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.