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Finding the Fourth Proportional to 52,128, 78,206.40 and 15,192

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Solution

The fourth proportional to 52,128, 78,206.40 and 15,192 is: 22,792.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,128 : 78,206.40 = 15,192 : x
  2. Step 2: Convert to fraction form
    52,128/78,206.40 = 15,192/x
  3. Step 3: Cross multiply
    52,128x = 78,206.40 × 15,192
  4. Step 4: Simplify right side
    52,128x = 1,188,111,628.80
  5. Step 5: Solve for x
    x = 1,188,111,628.80/52,128
  6. Step 6: Final answer
    x = 22,792.20

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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.