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Finding the Fourth Proportional to 100,192, 138,264.96 and 55,480

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Solution

The fourth proportional to 100,192, 138,264.96 and 55,480 is: 76,562.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,192 : 138,264.96 = 55,480 : x
  2. Step 2: Convert to fraction form
    100,192/138,264.96 = 55,480/x
  3. Step 3: Cross multiply
    100,192x = 138,264.96 × 55,480
  4. Step 4: Simplify right side
    100,192x = 7,670,939,980.80
  5. Step 5: Solve for x
    x = 7,670,939,980.80/100,192
  6. Step 6: Final answer
    x = 76,562.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.