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Finding the Fourth Proportional to 72,996.84, 109,482.66 and 20,393.82

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Solution

The fourth proportional to 72,996.84, 109,482.66 and 20,393.82 is: 30,587.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,996.84 : 109,482.66 = 20,393.82 : x
  2. Step 2: Convert to fraction form
    72,996.84/109,482.66 = 20,393.82/x
  3. Step 3: Cross multiply
    72,996.84x = 109,482.66 × 20,393.82
  4. Step 4: Simplify right side
    72,996.84x = 2,232,769,661.16
  5. Step 5: Solve for x
    x = 2,232,769,661.16/72,996.84
  6. Step 6: Final answer
    x = 30,587.21

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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.