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Finding the Fourth Proportional to 100,084.64, 138,100.56 and 55,364

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Solution

The fourth proportional to 100,084.64, 138,100.56 and 55,364 is: 76,393.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,084.64 : 138,100.56 = 55,364 : x
  2. Step 2: Convert to fraction form
    100,084.64/138,100.56 = 55,364/x
  3. Step 3: Cross multiply
    100,084.64x = 138,100.56 × 55,364
  4. Step 4: Simplify right side
    100,084.64x = 7,645,799,403.84
  5. Step 5: Solve for x
    x = 7,645,799,403.84/100,084.64
  6. Step 6: Final answer
    x = 76,393.33

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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.