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Finding the Fourth Proportional to 72,643.84, 108,972.02 and 20,053.33

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Solution

The fourth proportional to 72,643.84, 108,972.02 and 20,053.33 is: 30,081.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,643.84 : 108,972.02 = 20,053.33 : x
  2. Step 2: Convert to fraction form
    72,643.84/108,972.02 = 20,053.33/x
  3. Step 3: Cross multiply
    72,643.84x = 108,972.02 × 20,053.33
  4. Step 4: Simplify right side
    72,643.84x = 2,185,251,232.70
  5. Step 5: Solve for x
    x = 2,185,251,232.70/72,643.84
  6. Step 6: Final answer
    x = 30,081.72

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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.