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Finding the Fourth Proportional to 52,128, 78,203.52 and 19,296

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Solution

The fourth proportional to 52,128, 78,203.52 and 19,296 is: 28,948.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,128 : 78,203.52 = 19,296 : x
  2. Step 2: Convert to fraction form
    52,128/78,203.52 = 19,296/x
  3. Step 3: Cross multiply
    52,128x = 78,203.52 × 19,296
  4. Step 4: Simplify right side
    52,128x = 1,509,015,121.92
  5. Step 5: Solve for x
    x = 1,509,015,121.92/52,128
  6. Step 6: Final answer
    x = 28,948.26

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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.