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Finding the Fourth Proportional to 75,172.59, 112,776.30 and 21,865.83

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Solution

The fourth proportional to 75,172.59, 112,776.30 and 21,865.83 is: 32,803.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,172.59 : 112,776.30 = 21,865.83 : x
  2. Step 2: Convert to fraction form
    75,172.59/112,776.30 = 21,865.83/x
  3. Step 3: Cross multiply
    75,172.59x = 112,776.30 × 21,865.83
  4. Step 4: Simplify right side
    75,172.59x = 2,465,947,403.83
  5. Step 5: Solve for x
    x = 2,465,947,403.83/75,172.59
  6. Step 6: Final answer
    x = 32,803.81

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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.